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In this thesis we study aspects of strong-field gravitational lensing by black holes in general relativity, with a particular focus on the role of integrability and chaos in geodesic motion.
L. E. J. Brouwer, “Zur Analysis Situs,” Mathematische Annalen
1910
Earlier work this paper cites.
A. Einstein, “Über den Einfluß der Schwerkraft auf die Ausbreitung des Lichtes,” Annalen der Physik
1911
Earlier work this paper cites.
A. Einstein, “Erklärung der Perihelionbewegung der Merkur aus der allgemeinen Relativitätstheorie,” Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften
1915
Earlier work this paper cites.
K. Schwarzschild, “Über das gravitationsfeld eines massenpunktes nach der einsteinschen theorie,” Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften
1916
Earlier work this paper cites.
H. Reissner, “Über die Eigengravitation des elektrischen Feldes nach der Einsteinschen Theorie,” Annalen der Physik
1916
Earlier work this paper cites.
H. Weyl, “Zur Gravitationstheorie,” Annalen der Physik
1917
Earlier work this paper cites.
K. Yoneyama, “Theory of Continuous Set of Points,” Tohoku Mathematical Journal
1917
Earlier work this paper cites.
G. Nordström, “On the energy of the gravitational field in Einstein’s theory,” in Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen
1918
Earlier work this paper cites.
F. W. Dyson, A. S. Eddington, and C. Davidson, “A determination of the deflection of light by the Sun’s gravitational field, from observations made at the total eclipse of May 29, 1919,” Philosophical Transactions of the Royal Society of London, Series A
1920
Earlier work this paper cites.
J. T. Jebsen, “Über die allgemeinen kugelsymmetrischen Lösungen der Einsteinschen Gravitationsgleichungen im Vakuum,” Arkiv för Matematik, Astronomi och Fysik
1921
Earlier work this paper cites.
G. B. Jeffery, “The field of an electron on Einstein’s theory of gravitation,” Proceedings of the Royal Society of London, Series A
1921
Earlier work this paper cites.
Harvard University Press, 1923
G. D. Birkhoff and R. E. Langer, Relativity and Modern Physics · 1923
Earlier work this paper cites.
A. S. Eddington, “A Comparison of Whitehead’s and Einstein’s Formulæ,” Nature
1924
Earlier work this paper cites.
O. Chwolson, “Über eine mögliche Form fiktiver Doppelsterne,” Astronomische Nachrichten
1924
Earlier work this paper cites.
L. D. Landau, “On the theory of stars,” Physikalische Zeitschrift der Sowjetunion
1932
Earlier work this paper cites.
W. Baade and F. Zwicky, “On super-novae,” Proceedings of the National Academy of Sciences
1934
Earlier work this paper cites.
A. Einstein, “Lens-like action of a star by the deviation of light in the gravitational field,” Science
1936
Earlier work this paper cites.
F. Zwicky, “Nebulae as Gravitational Lenses,” Physical Review
1937
Earlier work this paper cites.
F. Zwicky, “On collapsed neutron stars,” The Astrophysical Journal
1938
Earlier work this paper cites.
J. R. Oppenheimer and G. M. Volkoff, “On massive neutron cores,” Physical Review
1939
Earlier work this paper cites.
J. R. Oppenheimer and H. Snyder, “On continued gravitational contraction,” Physical Review
1939
Earlier work this paper cites.
S. D. Majumdar, “A Class of Exact Solutions of Einstein’s Field Equations,” Physical Review
1947
Earlier work this paper cites.
A. Papapetrou, “A static solution of the equations of the gravitational field for an arbitary charge-distribution,” Proceedings of the Royal Irish Academy, Section A
1947
Earlier work this paper cites.
D. Finkelstein, “Past-future asymmetry of the gravitational field of a point particle,” Physical Review
1958
Earlier work this paper cites.
C. G. Darwin, “The gravity field of a particle,” Proceedings of the Royal Society of London, Series A
1959
Earlier work this paper cites.
R. Sachs, “Gravitational waves in general relativity. VI. The outgoing radiation condition,” Proceedings of the Royal Society of London, Series A
1961
Earlier work this paper cites.
E. Newman and R. Penrose, “An approach to gravitational radiation by a method of spin coefficients,” Journal of Mathematical Physics
1962
Earlier work this paper cites.
R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics,” Physical review letters
1963
Earlier work this paper cites.
Y. G. Klimov, “The deflection of light rays in the gravitational fields of galaxies,” Soviet Physics Doklady
1963
Earlier work this paper cites.
M. Schmidt, “3C 273: A Star-Like Object with Large Red-Shift,” Nature
1963
Earlier work this paper cites.
S. Refsdal, “The gravitational lens effect,” Monthly Notices of the Royal Astronomical Society
1964
Earlier work this paper cites.
S. Liebes Jr., “Gravitational Lenses,” Physical Review
1964
Earlier work this paper cites.
M. Hénon and C. Heiles, “The Applicability of the Third Integral of Motion: Some Numerical Experiments,” The Astronomical Journal
1964
Earlier work this paper cites.
S. Refsdal, “On the possibility of determining Hubble’s parameter and the masses of galaxies from the gravitational lens effect,” Monthly Notices of the Royal Astronomical Society
1964
Earlier work this paper cites.
E. T. Newman, E. Couch, K. Chinnapared, A. Exton, A. Prakash, and R. Torrence, “Metric of a rotating, charged mass,” Journal of Mathematical Physics
1965
Earlier work this paper cites.
E. T. Newman and A. I. Janis, “Note on the Kerr spinning-particle metric,” Journal of Mathematical Physics
1965
Earlier work this paper cites.
R. P. Kerr, “Gravitational collapse and rotation,” in Quasi-stellar sources and gravitational collapse: including the proceedings of the First Texas Symposium on Relativistic Astrophysics
1965
Earlier work this paper cites.
J. L. Synge, “The escape of photons from gravitationally intense stars,” Monthly Notices of the Royal Astronomical Society
1966
Earlier work this paper cites.
B. Carter, “Complete analytic extension of the symmetry axis of Kerr’s solution of Einstein’s equations,” Physical Review
1966
Earlier work this paper cites.
W. Israel, “Event horizons in static vacuum space-times,” Physical Review
1967
Earlier work this paper cites.
R. H. Boyer and R. W. Lindquist, “Maximal analytic extension of the Kerr metric,” Journal of Mathematical Physics
1967
Earlier work this paper cites.
J. Ehlers, “Zum Übergang von der Wellenoptik zur geometrischen Optik in der allgemeinen Relativitätstheorie,” Zeitschrift für Naturforschung A
1967
Earlier work this paper cites.
C. A. Coulson and A. Joseph, “A constant of the motion for the two-centre Kepler problem,” International Journal of Quantum Chemistry
1967
Earlier work this paper cites.
W. Israel, “Event horizons in static electrovac space-times,” Communications in Mathematical Physics
1968
Earlier work this paper cites.
B. Carter, “Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations,” Communications in Mathematical Physics
1968
Earlier work this paper cites.
F. J. Ernst, “New Formulation of the Axially Symmetric Gravitational Field Problem. II,” Physical Review
1968
Earlier work this paper cites.
R. Kantowski, “Another interpretation of the optical scalars,” Journal of Mathematical Physics
1968
Earlier work this paper cites.
B. Carter, “Global structure of the Kerr family of gravitational fields,” Physical Review
1968
Earlier work this paper cites.
T. Kashiwada, “On conformal Killing tensor,” Natural Science Report, Ochanomizu University
1968
Earlier work this paper cites.
S.-i. Tachibana, “On conformal Killing tensor in a Riemannian space,” Tohoku Mathematical Journal, Second Series
1969
Earlier work this paper cites.
W. Kinnersley, “Type D vacuum metrics,” Journal of Mathematical Physics
1969
Earlier work this paper cites.
S. W. Hawking and R. Penrose, “The singularities of gravitational collapse and cosmology,” Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
1970
Earlier work this paper cites.
D. R. Brill, P. L. Chrzanowski, C. M. Pereira, E. D. Fackerell, and J. R. Ipser, “Solution of the scalar wave equation in a Kerr background by separation of variables,” Physical Review D
1972
Earlier work this paper cites.
S. A. Teukolsky, “Rotating Black Holes: Separable Wave Equations for Gravitational and Electromagnetic Perturbations,” Physical Review Letters
1972
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, “Solutions of the Einstein-Maxwell equations with many black holes,” Communications in Mathematical Physics
1972
Earlier work this paper cites.
W. Israel and G. A. Wilson, “A class of stationary electromagnetic vacuum fields,” Journal of Mathematical Physics
1972
Earlier work this paper cites.
C. J. Goebel, “Comments on the “vibrations” of a Black Hole,” The Astrophysical Journal
1972
Earlier work this paper cites.
Freeman, 1973
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation · 1973
Earlier work this paper cites.
J. M. Bardeen, B. Carter, and S. W. Hawking, “The four laws of black hole mechanics,” Communications in Mathematical Physics
1973
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy,” Physical Review D
1973
Earlier work this paper cites.
PhD thesis, University of London, 1973
R. Floyd, The dynamics of Kerr fields · 1973
Earlier work this paper cites.
R. Penrose, “Naked singularities,” Annals of the New York Academy of Sciences
1973
Earlier work this paper cites.
W. Unruh, “Separability of the neutrino equations in a Kerr background,” Physical Review Letters
1973
Earlier work this paper cites.
S. A. Teukolsky, “Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic and neutrino field perturbations,” The Astrophysical Journal
1973
Earlier work this paper cites.
J. M. Bardeen, “Timelike and null geodesics in the Kerr metric,” in Black Holes
1973
Earlier work this paper cites.
R. Geroch, A. Held, and R. Penrose, “A space-time calculus based on pairs of null directions,” Journal of Mathematical Physics
1973
Earlier work this paper cites.
C. T. Cunningham and J. M. Bardeen, “The optical appearance of a star orbiting an extreme Kerr black hole,” The Astrophysical Journal
1973
Earlier work this paper cites.
B. Carter, “Black Hole Equilibrium States,” in Black Holes
1973
Earlier work this paper cites.
S. W. Hawking, “Black hole explosions?,” Nature
1974
Earlier work this paper cites.
E. P. T. Liang, “Equatorial circular orbits of some static gravitational fields with naked singularities,” Physical Review D
1974
Earlier work this paper cites.
B. Mashhoon, “Electromagnetic scattering from a black hole and the glory effect,” Physical Review D
1974
Earlier work this paper cites.
D. C. Robinson, “Uniqueness of the Kerr black hole,” Physical Review Letters
1975
Earlier work this paper cites.
C. T. Cunningham, “The effects of redshifts and focusing on the spectrum of an accretion disk around a Kerr black Hole,” The Astrophysical Journal
1975
Earlier work this paper cites.
S. Chandrasekhar, “The solution of Dirac’s equation in Kerr geometry,” Proceedings of the Royal Society of London, Series A
1976
Earlier work this paper cites.
A. M. Anile, “Geometrical optics in general relativity: A study of the higher order corrections,” Journal of Mathematical Physics
1976
Earlier work this paper cites.
W. H. Freeman and Company, 1982
B. B. Mandelbrot, The Fractal Geometry of Nature · 1977
Earlier work this paper cites.
M. V. Berry, “Regular and irregular motion,” in AIP Conference Proceedings
1978
Earlier work this paper cites.
S. L. Jaki, “Johann Georg von Soldner and the gravitational bending of light, with an English translation of his essay on it published in 1801,” Foundations of Physics
1978
Earlier work this paper cites.
J. L. Friedman, “Ergosphere instability,” Communications in Mathematical Physics
1978
Earlier work this paper cites.
D. Walsh, R. F. Carswell, and R. J. Weymann, “0957+ 561 A, B: twin quasistellar objects or gravitational lens?,” Nature
1979
Earlier work this paper cites.
J.-P. Luminet, “Image of a spherical black hole with thin accretion disk,” Astronomy and Astrophysics
1979
Earlier work this paper cites.
N. A. Sharp, “Geodesics in black hole space-times,” General Relativity and Gravitation
1979
Earlier work this paper cites.
Dover, 1979
I. Newton, Opticks. A Treatise of the Reflections, Refractions, Inflections & Colours of Light · 1979
Earlier work this paper cites.
S. Schaffer, “John Michell and Black Holes,” Journal for the History of Astronomy
1979
Earlier work this paper cites.
R. Güven, “Black holes have no superhair,” Physical Review D
1980
Earlier work this paper cites.
D. Kramer and G. Neugebauer, “The superposition of two Kerr solutions,” Physics Letters A
1980
Earlier work this paper cites.
M. Calvani, F. de Felice, and L. Nobili, “Photon trajectories in the Kerr–Newman metric,” Journal of Physics A
1980
Earlier work this paper cites.
E. Ott, “Strange attractors and chaotic motions of dynamical systems,” Reviews of Modern Physics
1981
Earlier work this paper cites.
Z. Stuchlík, “Null geodesics in the Kerr-Newman metric,” Bulletin of the Astronomical Institutes of Czechoslovakia
1981
Earlier work this paper cites.
P. O. Mazur, “Proof of uniqueness of the Kerr-Newman black hole solution,” Journal of Physics A
1982
Earlier work this paper cites.
B. Carter and R. G. McLenaghan, “Generalised master equations for wave equation separation in a Kerr or Kerr-Newman black hole background,” in Proceedings of the second Marcel Grossmann meeting on general relativity
1982
Earlier work this paper cites.
J.-A. Marck, “Solution to the equations of parallel transport in Kerr geometry; tidal tensor,” Proceedings of the Royal Society of London, Series A
1983
Earlier work this paper cites.
J.-A. Marck, “Parallel-tetrad on null geodesics in Kerr-Newman space-time,” Physics Letters A
1983
Earlier work this paper cites.
D. F. Chernoff and J. D. Barrow, “Chaos in the mixmaster universe,” Physical Review Letters
1983
Earlier work this paper cites.
Oxford University Press, 1983
S. Chandrasekhar, The Mathematical Theory of Black Holes · 1983
Earlier work this paper cites.
C. Grebogi, S. W. McDonald, E. Ott, and J. A. Yorke, “Final state sensitivity: an obstruction to predictability,” Physics Letters A
1983
Earlier work this paper cites.
University of Chicago Press, 1984
R. M. Wald, General Relativity · 1984
Earlier work this paper cites.
J. Milnor, “On the Concept of Attractor,” in The Theory of Chaotic Attractors
1985
Earlier work this paper cites.
J.-P. Eckmann and D. Ruelle, “Ergodic theory of chaos and strange attractors,” in The Theory of Chaotic Attractors
1985
Earlier work this paper cites.
S. W. McDonald, C. Grebogi, E. Ott, and J. A. Yorke, “Fractal basin boundaries,” Physica D
1985
Earlier work this paper cites.
Erratum: Physical Review D , vol. 31, no. 10, p. 2697, 1985
B. Mashhoon, “Stability of charged rotating black holes in the eikonal approximation,” Physical Review D · 1985
Earlier work this paper cites.
B. Eckhardt, “Fractal properties of scattering singularities,” Journal of Physics A
1987
Earlier work this paper cites.
C. M. Will, “Henry Cavendish, Johann von Soldner, and the deflection of light,” American Journal of Physics
1988
Earlier work this paper cites.
B. Eckhardt, “Irregular scattering,” Physica D
1988
Earlier work this paper cites.
Dover Publications, 1988
J. G. Hocking and G. S. Young, Topology · 1988
Earlier work this paper cites.
H. Ishihara, M. Takahashi, and A. Tomimatsu, “Gravitational Faraday rotation induced by a Kerr black hole,” Physical Review D
1988
Earlier work this paper cites.
V. Balek, J. Bičák, and Z. Stuchlík, “The motion of the charged particles in the field of rotating charged black holes and naked singularities. II. The motion in the equatorial plane,” Bulletin of the Astronomical Institutes of Czechoslovakia
1989
Earlier work this paper cites.
Springer-Verlag, 1989
V. I. Arnol’d, Mathematical Methods of Classical Mechanics · 1989
Earlier work this paper cites.
S. Chandrasekhar, “The two-centre problem in general relativity: the scattering of radiation by two extreme Reissner–Nordström black-holes,” Proceedings of the Royal Society of London, Series A
1989
Cited alongside, same era.
Addison-Wesley, 1989
R. L. Devaney, An Introduction to Chaotic Dynamical Systems · 1989
Cited alongside, same era.
John Wiley & Sons, 1989
M. Tabor, Chaos and Integrability in Nonlinear Dynamics · 1989
Cited alongside, same era.
P. Gaspard and S. A. Rice, “Scattering from a classically chaotic repellor,” The Journal of Chemical Physics
1989
Cited alongside, same era.
Cambridge University Press, 1990
A. M. Ozorio de Almeida, Hamiltonian Systems: Chaos and Quantization · 1990
Cited alongside, same era.
G. Contopoulos, “Periodic orbits and chaos around two black holes,” Proceedings of the Royal Society of London, Series A
T. Müller and F. Grave, “GeodesicViewer – A tool for exploring geodesics in the theory of relativity,” Computer Physics Communications
2010
Later among the works it cites.
R. V. Shcherbakov and L. Huang, “General relativistic polarized radiative transfer: building a dynamics–observations interface,” Monthly Notices of the Royal Astronomical Society
2010
Later among the works it cites.
S. R. Dolan, “Quasinormal mode spectrum of a Kerr black hole in the eikonal limit,” Physical Review D
2010
Later among the works it cites.
P. Pani, E. Barausse, E. Berti, and V. Cardoso, “Gravitational instabilities of superspinars,” Physical Review D
2010
Later among the works it cites.
J. Hough, “Long baseline gravitational wave detectors—Status and developments,” Progress in Particle and Nuclear Physics
2011
Later among the works it cites.
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1990
Cited alongside, same era.
G. Contopoulos, “Periodic orbits and chaos around two fixed black holes. II,” Proceedings of the Royal Society of London, Series A
1991
Cited alongside, same era.
J. Kennedy and J. A. Yorke, “Basins of Wada,” Physica D
1991
Cited alongside, same era.
L. Bombelli and E. Calzetta, “Chaos around a black hole,” Classical and Quantum Gravity
1992
Cited alongside, same era.
Springer-Verlag, 1992
P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses · 1992
Cited alongside, same era.
J. C. Alexander, J. A. Yorke, Z. You, and I. Kan, “Riddled basins,” International Journal of Bifurcation and Chaos
1992
Cited alongside, same era.
E. Ott and T. Tél, “Chaotic scattering: An introduction,” Chaos
1993
Cited alongside, same era.
Y. Yasui and T. Houri, “Hidden symmetry and exact solutions in Einstein gravity,” Progress of Theoretical Physics Supplement
2011
Later among the works it cites.
Cambridge University Press, 2011
H. Cavendish, The Scientific Papers of the Honourable Henry Cavendish, F.R.S · 2011
Later among the works it cites.
Republication: General Relativity and Gravitation vol. 43, no. 1, p. 337, 2011
J. Kristian and R. K. Sachs, “Observations in cosmology,” The Astrophysical Journal · 2011
Later among the works it cites.
F. H. Vincent, T. Paumard, E. Gourgoulhon, and G. Perrin, “GYOTO: a new general relativistic ray-tracing code,” Classical and Quantum Gravity
2011
Later among the works it cites.
D. Nitta, T. Chiba, and N. Sugiyama, “Shadows of colliding black holes,” Physical Review D
2011
Later among the works it cites.
R. Penrose, “Republication of: Conformal treatment of infinity,” General Relativity and Gravitation
2011
Later among the works it cites.
R. A. Konoplya and A. Zhidenko, “Quasinormal modes of black holes: From astrophysics to string theory,” Reviews of Modern Physics
2011
Later among the works it cites.
V. I. Dokuchaev, “Is there life inside black holes?,” Classical and Quantum Gravity
2011
Later among the works it cites.
V. P. Frolov and A. A. Shoom, “Spinoptics in a stationary spacetime,” Physical Review D
2011
Later among the works it cites.
Cambridge University Press, 2012
J. H. Lowenstein, Essentials of Hamiltonian Dynamics · 2012
Later among the works it cites.
J. M. Seoane and M. A. F. Sanjuán, “New developments in classical chaotic scattering,” Reports on Progress in Physics
2012
Later among the works it cites.
A. Yumoto, D. Nitta, T. Chiba, and N. Sugiyama, “Shadows of multi-black holes: analytic exploration,” Physical Review D
2012
Later among the works it cites.
R. Bach and H. Weyl, “Republication of: New solutions to Einstein’s equations of gravitation. B. Explicit determination of static, axially symmetric fields. By Rudolf Bach. With a supplement on the static two-body problem. By H. Weyl,” General Relativity and Gravitation
2012
Later among the works it cites.
H. Yang, D. A. Nichols, F. Zhang, A. Zimmerman, Z. Zhang, and Y. Chen, “Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation,” Physical Review D
2012
Later among the works it cites.
M. Astorino, “Charging axisymmetric space-times with cosmological constant,” Journal of High Energy Physics
2012
Later among the works it cites.
V. P. Frolov and A. A. Shoom, “Scattering of circularly polarized light by a rotating black hole,” Physical Review D
2012
Later among the works it cites.
A. Zenginoğlu and C. R. Galley, “Caustic echoes from a Schwarzschild black hole,” Physical Review D
2012
Later among the works it cites.
Y. Aso, Y. Michimura, K. Somiya, M. Ando, O. Miyakawa, T. Sekiguchi, D. Tatsumi, H. Yamamoto, et al
2013
Later among the works it cites.
P. Jordan, J. Ehlers, and R. K. Sachs, “Republication of: Contributions to the theory of pure gravitational radiation. Exact solutions of the field equations of the general theory of relativity II,” General Relativity and Gravitation
2013
Later among the works it cites.
S. Hod, “Spherical null geodesics of rotating Kerr black holes,” Physics Letters B
2013
Later among the works it cites.
D. Pugliese, H. Quevedo, and R. Ruffini, “Equatorial circular orbits of neutral test particles in the Kerr-Newman spacetime,” Physical Review D
2013
Later among the works it cites.
T. Igata, H. Ishihara, and Y. Takamori, “Stable bound orbits of massless particles around a black ring,” Physical Review D
2013
Later among the works it cites.
A. Wünsch, T. Müller, D. Weiskopf, and G. Wunner, “Circular orbits in the extreme Reissner-Nordstrøm dihole metric,” Physical Review D
2013
Later among the works it cites.
D. Psaltis, R. Narayan, V. L. Fish, A. E. Broderick, A. Loeb, and S. S. Doeleman, “Event Horizon Telescope evidence for alignment of the black hole in the center of the Milky Way with the inner stellar disk,” The Astrophysical Journal
2014
Later among the works it cites.
A. E. Broderick, T. Johannsen, A. Loeb, and D. Psaltis, “Testing the no-hair theorem with event horizon telescope observations of Sagittarius A*,” The Astrophysical Journal
2014
Later among the works it cites.
A. Ricarte and J. Dexter, “The Event Horizon Telescope: exploring strong gravity and accretion physics,” Monthly Notices of the Royal Astronomical Society
2014
Later among the works it cites.
M. Cariglia, “Hidden symmetries of dynamics in classical and quantum physics,” Reviews of Modern Physics
2014
Later among the works it cites.
Cambridge University Press, 2014
E. Poisson and C. M. Will, Gravity: Newtonian, Post-Newtonian, Relativistic · 2014
Later among the works it cites.
T. Müller, “GeoViS—Relativistic ray tracing in four-dimensional spacetimes,” Computer Physics Communications
2014
Later among the works it cites.
V. Cardoso, L. C. B. Crispino, C. F. B. Macedo, H. Okawa, and P. Pani, “Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects,” Physical Review D
2014
Later among the works it cites.
A. Grenzebach, V. Perlick, and C. Lämmerzahl, “Photon regions and shadows of Kerr-Newman-NUT black holes with a cosmological constant,” Physical Review D
2014
Later among the works it cites.
A. Bohn, W. Throwe, F. Hébert, K. Henriksson, D. Bunandar, M. A. Scheel, and N. W. Taylor, “What does a binary black hole merger look like?,” Classical and Quantum Gravity
2015
Later among the works it cites.
P. V. P. Cunha, C. A. R. Herdeiro, E. Radu, and H. F. Rúnarsson, “Shadows of Kerr black holes with scalar hair,” Physical Review Letters
2015
Later among the works it cites.
S. Abdolrahimi, R. B. Mann, and C. Tzounis, “Distorted local shadows,” Physical Review D
2015
Later among the works it cites.
A. Daza, A. Wagemakers, M. A. F. Sanjuán, and J. A. Yorke, “Testing for basins of Wada,” Scientific Reports
2015
Later among the works it cites.
M. Casals and A. Ottewill, “High-order tail in Schwarzschild spacetime,” Physical Review D
2015
Later among the works it cites.
S. Ulbricht and R. Meinel, “A note on circular geodesics in the equatorial plane of an extreme Kerr–Newman black hole,” Classical and Quantum Gravity
2015
Later among the works it cites.
T. Igata, “Stable bound orbits in six-dimensional Myers-Perry black holes,” Physical Review D
2015
Later among the works it cites.
E. E. Zotos, “Classifying orbits in the classical Hénon–Heiles Hamiltonian system,” Nonlinear Dynamics
2015
Later among the works it cites.
M. Astorino, “Stationary axisymmetric spacetimes with a conformally coupled scalar field,” Physical Review D
2015
Later among the works it cites.
T. Johannsen, “Testing the no-hair theorem with observations of black holes in the electromagnetic spectrum,” Classical and Quantum Gravity
2016
Later among the works it cites.
T. Johannsen, A. E. Broderick, P. M. Plewa, S. Chatzopoulos, S. S. Doeleman, F. Eisenhauer, V. L. Fish, R. Genzel, O. Gerhard, and M. D. Johnson, “Testing General Relativity with the Shadow Size of Sgr A*,” Physical Review Letters
2016
Later among the works it cites.
B. P. Abbott et al
2016
Later among the works it cites.
B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, et al
2016
Later among the works it cites.
P. V. P. Cunha, J. Grover, C. Herdeiro, E. Radu, H. Runarsson, and A. Wittig, “Chaotic lensing around boson stars and Kerr black holes with scalar hair,” Physical Review D
2016
Later among the works it cites.
B. P. Abbott et al
2016
Later among the works it cites.
J. O. Shipley and S. R. Dolan, “Binary black hole shadows, chaotic scattering and the Cantor set,” Classical and Quantum Gravity
2016
Later among the works it cites.
P. V. P. Cunha, C. A. R. Herdeiro, E. Radu, and H. F. Runarsson, “Shadows of Kerr black holes with and without scalar hair,” International Journal of Modern Physics D
2016
Later among the works it cites.
Erratum: Physical Review Letters , vol. 117, no. 8, p. 089902, 2016
V. Cardoso, E. Franzin, and P. Pani, “Is the gravitational-wave ringdown a probe of the event horizon?,” Physical Review Letters · 2016
Later among the works it cites.
R. Brito, V. Cardoso, C. A. R. Herdeiro, and E. Radu, “Proca stars: gravitating Bose–Einstein condensates of massive spin 1 particles,” Physics Letters B
2016
Later among the works it cites.
C. Chirenti and L. Rezzolla, “Did GW150914 produce a rotating gravastar?,” Physical Review D
2016
Later among the works it cites.
J. Keir, “Slowly decaying waves on spherically symmetric spacetimes and ultracompact neutron stars,” Classical and Quantum Gravity
2016
Later among the works it cites.
S. R. Dolan and J. O. Shipley, “Stable photon orbits in stationary axisymmetric electrovacuum spacetimes,” Physical Review D
2016
Later among the works it cites.
B. P. Abbott et al
2017
Later among the works it cites.
B. P. Abbott et al
2017
Later among the works it cites.
2017
Later among the works it cites.
V. P. Frolov, P. Krtouš, and D. Kubizňák, “Black holes, hidden symmetries, and complete integrability,” Living Reviews in Relativity
2017
Later among the works it cites.
Cambridge University Press, 2017
S. Dodelson, Gravitational Lensing · 2017
Later among the works it cites.
P. V. P. Cunha, C. A. R. Herdeiro, and E. Radu, “Fundamental photon orbits: Black hole shadows and spacetime instabilities,” Physical Review D
2017
Later among the works it cites.
S. R. Dolan, “Geometrical optics for scalar, electromagnetic and gravitational waves on curved spacetime,” International Journal of Modern Physics D
2017
Later among the works it cites.
B. P. Abbott et al
2017
Later among the works it cites.
B. P. Abbott et al
2017
Later among the works it cites.
H. Falcke, “Imaging black holes: past, present and future,” in Journal of Physics: Conference Series
2017
Later among the works it cites.
P. V. P. Cunha, J. A. Font, C. Herdeiro, E. Radu, N. Sanchis-Gual, and M. Zilhão, “Lensing and dynamics of ultracompact bosonic stars,” Physical Review D
2017
Later among the works it cites.
P. V. P. Cunha, E. Berti, and C. A. R. Herdeiro, “Light-Ring Stability for Ultracompact Objects,” Physical Review Letters
2017
Later among the works it cites.
S. L. Liebling and C. Palenzuela, “Dynamical boson stars,” Living Reviews in Relativity
2017
Later among the works it cites.
(Corrigendum: Classical and Quantum Gravity , vol. 34, no. 21, p. 219501, 2017)
F. S. Khoo and Y. C. Ong, “Lux in obscuro: photon orbits of extremal black holes revisited,” Classical and Quantum Gravity · 2017
Later among the works it cites.
J. Grover and A. Wittig, “Black Hole Shadows and Invariant Phase Space Structures,” Physical Review D
2017
Later among the works it cites.
Princeton University Press, 2017
K. S. Thorne and R. D. Blandford, Modern Classical Physics: Optics, Fluids, Plasmas, Elasticity, Relativity, and Statistical Physics · 2017
Later among the works it cites.
L. C. S. Leite, S. R. Dolan, and L. C. B. Crispino, “Absorption of electromagnetic and gravitational waves by Kerr black holes,” Physics Letters B
2017
Later among the works it cites.
E. E. Zotos, “An overview of the escape dynamics in the Hénon–Heiles Hamiltonian system,” Meccanica
2017
Later among the works it cites.
2018
Later among the works it cites.
The LSC–Virgo Data Analysis Council, “The LSC–Virgo White Paper on Gravitational Wave Data Analysis and Astrophysics (Summer 2018 edition).” LIGO Document T1800058-v2, 2018
2018
Later among the works it cites.
D. Psaltis, “Testing general relativity with the Event Horizon Telescope,” arXiv preprint arXiv:1806.09740 [gr-qc], 2018 · 2018
Later among the works it cites.
V. P. Frolov, P. Krtouš, D. Kubizňák, and J. E. Santos, “Massive vector fields in rotating black-hole spacetimes: separability and quasinormal modes,” Physical Review Letters
2018
Later among the works it cites.
P. V. P. Cunha and C. A. R. Herdeiro, “Shadows and strong gravitational lensing: a brief review,” General Relativity and Gravitation
2018
Later among the works it cites.
2018
Later among the works it cites.
D. G. Bruns, “Gravitational starlight deflection measurements during the 21 August 2017 total solar eclipse,” Classical and Quantum Gravity
2018
Later among the works it cites.
Erratum: Physical Review Lettters , vol. 121, no. 12, p. 129901, 2018
B. P. Abbott et al · 2018
Later among the works it cites.
T. Assumpçao, V. Cardoso, A. Ishibashi, M. Richartz, and M. Zilhao, “Black hole binaries: ergoregions, photon surfaces, wave scattering, and quasinormal modes,” Physical Review D
2018
Later among the works it cites.
P. V. P. Cunha, C. A. R. Herdeiro, and M. J. Rodriguez, “Shadows of exact binary black holes,” Physical Review D
2018
Later among the works it cites.
P. V. P. Cunha, C. A. R. Herdeiro, and M. J. Rodriguez, “Does the black hole shadow probe the event horizon geometry?,” Physical Review D
2018
Later among the works it cites.
M. Wang, S. Chen, and J. Jing, “Shadows of Bonnor black dihole by chaotic lensing,” Physical Review D
2018
Later among the works it cites.
M. Wang, S. Chen, and J. Jing, “Chaotic shadow of a non-Kerr rotating compact object with quadrupole mass moment,” Physical Review D
2018
Later among the works it cites.
A. Daza, A. Wagemakers, and M. A. F. Sanjuán, “Ascertaining when a basin is Wada: the merging method,” Scientific Reports
2018
Later among the works it cites.
A. Daza, J. O. Shipley, S. R. Dolan, and M. A. F. Sanjuán, “Wada structures in a binary black hole system,” Physical Review D
2018
Later among the works it cites.
J. Jia, X. Pang, and N. Yang, “Existence and stability of circular orbits in static and axisymmetric spacetimes,” General Relativity and Gravitation
2018
Later among the works it cites.
S. Hod, “On the number of light rings in curved spacetimes of ultra-compact objects,” Physics Letters B
2018
Later among the works it cites.
The Event Horizon Telescope Collaboration, “First M87 Event Horizon Telescope results. I. The shadow of the supermassive black hole,” The Astrophysical Journal Letters
2019
Closest in time.
The Event Horizon Telescope Collaboration, “First M87 Event Horizon Telescope Results. II. Array and Instrumentation,” The Astrophysical Journal Letters
2019
Closest in time.
The Event Horizon Telescope Collaboration, “First M87 Event Horizon Telescope Results. III. Data Processing and Calibration,” The Astrophysical Journal Letters
2019
Closest in time.
The Event Horizon Telescope Collaboration, “First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole,” The Astrophysical Journal Letters
2019
Closest in time.
The Event Horizon Telescope Collaboration, “First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring,” The Astrophysical Journal Letters
2019
Closest in time.
The Event Horizon Telescope Collaboration, “First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole,” The Astrophysical Journal Letters
2019
Closest in time.
L. C. B. Crispino and D. J. Kennefick, “A hundred years of the first experimental test of general relativity,” Nature Physics
2019
Closest in time.
Cambridge University Press, 2019
S. M. Carroll, Spacetime and Geometry · 2019
Closest in time.
2019
Closest in time.
L. Bernard, V. Cardoso, T. Ikeda, and M. Zilhão, “Physics of black hole binaries: Geodesics, relaxation modes, and energy extraction,” Physical Review D
2019
Closest in time.
A. I. Harte, “Gravitational lensing beyond geometric optics: I. Formalism and observables,” General Relativity and Gravitation
2019
Closest in time.
2019
Closest in time.
2019
Closest in time.