Built on

B. Carter, “Global Structure of the Kerr Family of Gravitational Fields,” Physical Review
1968
Earlier work this paper cites.
H. Fettis, “On the Reciprocal Modulus Relation for Elliptic Integrals,” SIAM Journal on Mathematical Analysis
1970
Earlier work this paper cites.
D. C. Wilkins, “Bound Geodesics in the Kerr Metric,” Phys. Rev. D 5
1972
Earlier work this paper cites.
F. de Felice and M. Calvani, “Orbital and vortical motion in the Kerr metric.,” Nuovo Cimento B Serie
1972
Earlier work this paper cites.
United States Department of Commerce, National Bureau of Standards, 1972
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions · 1972
Earlier work this paper cites.
J. M. Bardeen, W. H. Press, and S. A. Teukolsky, “Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction, and Scalar Synchrotron Radiation,” ApJ 178
1972
Earlier work this paper cites.
Gordon and Breach Science Publishers, New York, 1973
J. M. Bardeen, “Timelike and null geodesics in the Kerr metric,” in Black Holes (Les Astres Occlus) · 1973
Earlier work this paper cites.
D. N. Page and K. S. Thorne, “Disk-Accretion onto a Black Hole. Time-Averaged Structure of Accretion Disk,” ApJ 191
1974
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,” ApJ 202
1975
Earlier work this paper cites.
H. Stephani, “A note on Killing tensors,” General Relativity and Gravitation
1978
Earlier work this paper cites.
M. M. Roberts, “Time evolution of entanglement entropy from a pulse,” Journal of High Energy Physics
Original
1982
Earlier work this paper cites.
Oxford University Press, 1983
S. Chandrasekhar, The mathematical theory of black holes · 1983
Earlier work this paper cites.
W. Israel, “Third law of black-hole dynamics - A formulation and proof,” Physical Review Letters
1986
Earlier work this paper cites.
J. Bičák, Z. Stuchlík, and V. Balek, “The motion of charged particles in the field of rotating charged black holes and naked singularities,” Bulletin of the Astronomical Institutes of Czechoslovakia
1989
Earlier work this paper cites.
K. P. Rauch and R. D. Blandford, “Optical caustics in a kerr spacetime and the origin of rapid X-ray variability in active galactic nuclei,” ApJ 421
1994
Earlier work this paper cites.
A K Peters, Ltd. Wellesley, Mass., 1995
B. O’Neill, The geometry of Kerr black holes · 1995
Earlier work this paper cites.
A. Strominger and C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy,” Physics Letters B
1996
Earlier work this paper cites.
J. Maldacena, “The Large-N Limit of Superconformal Field Theories and Supergravity,” International Journal of Theoretical Physics
1999
Earlier work this paper cites.
J. Bardeen and G. T. Horowitz, “Extreme Kerr throat geometry: A vacuum analog of AdS2 x S2,” Phys. Rev. D 60
1999
Earlier work this paper cites.
July, 1999
M. Bañados, “Three-dimensional quantum geometry and black holes,” in Trends in Theoretical Physics II · 1999
Earlier work this paper cites.
J. Maldacena, J. Michelson, and A. Strominger, “Anti-de Sitter fragmentation,” Journal of High Energy Physics
Original
1999
Earlier work this paper cites.
S. E. Vázquez and E. P. Esteban, “Strong-field gravitational lensing by a Kerr black hole,” Nuovo Cimento B Serie
2004
Earlier work this paper cites.
G. V. Kraniotis, “Frame dragging and bending of light in Kerr and Kerr (anti) de Sitter spacetimes,” Classical and Quantum Gravity
2005
Earlier work this paper cites.
Elsevier Academic Press, 2007
I. S. Gradshteyn, I. M. Ryzhik, A. Jeffrey, and D. Zwillinger, Table of Integrals, Series, and Products · 2007
Earlier work this paper cites.
M. Guica, T. Hartman, W. Song, and A. Strominger, “The Kerr/CFT correspondence,” Phys. Rev. D 80
Original
2009
Earlier work this paper cites.

Similar

J. Dexter and E. Agol, “A Fast New Public Code for Computing Photon Orbits in a Kerr Spacetime,” ApJ 696
Original
2009
Cited alongside, same era.
R. Fujita and W. Hikida, “Analytical solutions of bound timelike geodesic orbits in Kerr spacetime,” Classical and Quantum Gravity
Original
2009
Cited alongside, same era.
W. Song, D. Anninos, W. Li, M. Padi, and A. Strominger, “Warped AdS 3
Original
2009
Cited alongside, same era.
Ó. J. C. Dias, H. S. Reall, and J. E. Santos, “Kerr-CFT and gravitational perturbations,” Journal of High Energy Physics
Original
2009
Cited alongside, same era.
A. J. Amsel, G. T. Horowitz, D. Marolf, and M. M. Roberts, “No dynamics in the extremal Kerr throat,” Journal of High Energy Physics

Then

S. E. Gralla, A. P. Porfyriadis, and N. Warburton, “Particle on the innermost stable circular orbit of a rapidly spinning black hole,” Phys. Rev. D 92
Original
2015
Later among the works it cites.
J. Maldacena and D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
Original
2016
Later among the works it cites.
J. Maldacena, D. Stanford, and Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,” Progress of Theoretical and Experimental Physics
Original
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, and et al., “Observation of Gravitational Waves from a Binary Black Hole Merger,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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Reading the bibliography…

2019

Particle motion near high-spin black holes

Kapec, Daniel, Lupsasca, Alexandru

Understand

General relativity predicts that the Kerr black hole develops qualitatively new and surprising features in the limit of maximal spin.

Most strikingly, the region of spacetime near the event horizon stretches into an infinitely long throat and displays an emergent conformal symmetry.
Understanding dynamics in this NHEK (Near-Horizon Extreme Kerr) geometry is necessary for connecting theory to upcoming astronomical observations of high-spin black holes.
We review essential properties of NHEK and its relationship to the rapidly rotating Kerr black hole.

Built on

B. Carter, “Global Structure of the Kerr Family of Gravitational Fields,” Physical Review
1968
Earlier work this paper cites.
H. Fettis, “On the Reciprocal Modulus Relation for Elliptic Integrals,” SIAM Journal on Mathematical Analysis
1970
Earlier work this paper cites.
D. C. Wilkins, “Bound Geodesics in the Kerr Metric,” Phys. Rev. D 5
1972
Earlier work this paper cites.
F. de Felice and M. Calvani, “Orbital and vortical motion in the Kerr metric.,” Nuovo Cimento B Serie
1972
Earlier work this paper cites.
United States Department of Commerce, National Bureau of Standards, 1972
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions · 1972
Earlier work this paper cites.
J. M. Bardeen, W. H. Press, and S. A. Teukolsky, “Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction, and Scalar Synchrotron Radiation,” ApJ 178
1972
Earlier work this paper cites.
Gordon and Breach Science Publishers, New York, 1973
J. M. Bardeen, “Timelike and null geodesics in the Kerr metric,” in Black Holes (Les Astres Occlus) · 1973
Earlier work this paper cites.
D. N. Page and K. S. Thorne, “Disk-Accretion onto a Black Hole. Time-Averaged Structure of Accretion Disk,” ApJ 191
1974
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,” ApJ 202
1975
Earlier work this paper cites.
H. Stephani, “A note on Killing tensors,” General Relativity and Gravitation
1978
Earlier work this paper cites.
M. M. Roberts, “Time evolution of entanglement entropy from a pulse,” Journal of High Energy Physics
Original
1982
Earlier work this paper cites.
Oxford University Press, 1983
S. Chandrasekhar, The mathematical theory of black holes · 1983
Earlier work this paper cites.
W. Israel, “Third law of black-hole dynamics - A formulation and proof,” Physical Review Letters
1986
Earlier work this paper cites.
J. Bičák, Z. Stuchlík, and V. Balek, “The motion of charged particles in the field of rotating charged black holes and naked singularities,” Bulletin of the Astronomical Institutes of Czechoslovakia
1989
Earlier work this paper cites.
K. P. Rauch and R. D. Blandford, “Optical caustics in a kerr spacetime and the origin of rapid X-ray variability in active galactic nuclei,” ApJ 421
1994
Earlier work this paper cites.
A K Peters, Ltd. Wellesley, Mass., 1995
B. O’Neill, The geometry of Kerr black holes · 1995
Earlier work this paper cites.
A. Strominger and C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy,” Physics Letters B
1996
Earlier work this paper cites.
J. Maldacena, “The Large-N Limit of Superconformal Field Theories and Supergravity,” International Journal of Theoretical Physics
1999
Earlier work this paper cites.
J. Bardeen and G. T. Horowitz, “Extreme Kerr throat geometry: A vacuum analog of AdS2 x S2,” Phys. Rev. D 60
1999
Earlier work this paper cites.
July, 1999
M. Bañados, “Three-dimensional quantum geometry and black holes,” in Trends in Theoretical Physics II · 1999
Earlier work this paper cites.
J. Maldacena, J. Michelson, and A. Strominger, “Anti-de Sitter fragmentation,” Journal of High Energy Physics
Original
1999
Earlier work this paper cites.
S. E. Vázquez and E. P. Esteban, “Strong-field gravitational lensing by a Kerr black hole,” Nuovo Cimento B Serie
2004
Earlier work this paper cites.
G. V. Kraniotis, “Frame dragging and bending of light in Kerr and Kerr (anti) de Sitter spacetimes,” Classical and Quantum Gravity
2005
Earlier work this paper cites.
Elsevier Academic Press, 2007
I. S. Gradshteyn, I. M. Ryzhik, A. Jeffrey, and D. Zwillinger, Table of Integrals, Series, and Products · 2007
Earlier work this paper cites.
M. Guica, T. Hartman, W. Song, and A. Strominger, “The Kerr/CFT correspondence,” Phys. Rev. D 80
Original
2009
Earlier work this paper cites.

Similar

J. Dexter and E. Agol, “A Fast New Public Code for Computing Photon Orbits in a Kerr Spacetime,” ApJ 696
Original
2009
Cited alongside, same era.
R. Fujita and W. Hikida, “Analytical solutions of bound timelike geodesic orbits in Kerr spacetime,” Classical and Quantum Gravity
Original
2009
Cited alongside, same era.
W. Song, D. Anninos, W. Li, M. Padi, and A. Strominger, “Warped AdS 3
Original
2009
Cited alongside, same era.
Ó. J. C. Dias, H. S. Reall, and J. E. Santos, “Kerr-CFT and gravitational perturbations,” Journal of High Energy Physics
Original
2009
Cited alongside, same era.
A. J. Amsel, G. T. Horowitz, D. Marolf, and M. M. Roberts, “No dynamics in the extremal Kerr throat,” Journal of High Energy Physics

Then

S. E. Gralla, A. P. Porfyriadis, and N. Warburton, “Particle on the innermost stable circular orbit of a rapidly spinning black hole,” Phys. Rev. D 92
Original
2015
Later among the works it cites.
J. Maldacena and D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
Original
2016
Later among the works it cites.
J. Maldacena, D. Stanford, and Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,” Progress of Theoretical and Experimental Physics
Original
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, and et al., “Observation of Gravitational Waves from a Binary Black Hole Merger,” Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2009

Cited alongside, same era.

PhD thesis, Bremen University, 2010

E. Hackmann, Geodesic equations in black hole space-times with cosmological constant · 2010

Cited alongside, same era.

Z. Stuchlík and J. Schee, “Appearance of Keplerian discs orbiting Kerr superspinars,” Classical and Quantum Gravity

Original

2010

Cited alongside, same era.

A. Galajinsky, “Particle dynamics near extreme Kerr throat and supersymmetry,” Journal of High Energy Physics

Original

2010

Cited alongside, same era.

I. Bredberg, T. Hartman, W. Song, and A. Strominger, “Black hole superradiance from Kerr/CFT,” Journal of High Energy Physics

Original

2010

Cited alongside, same era.

G. V. Kraniotis, “Precise analytic treatment of Kerr and Kerr-(anti) de Sitter black holes as gravitational lenses,” Classical and Quantum Gravity

Original

2011

Cited alongside, same era.

Z. Stuchlík, S. Hledík, and K. Truparová, “Evolution of Kerr superspinars due to accretion counterrotating thin discs,” Classical and Quantum Gravity

2011

Cited alongside, same era.

T. Jacobson, “Where is the extremal Kerr ISCO?,” Classical and Quantum Gravity

Original

2011

Cited alongside, same era.

G. Compère and R. Oliveri, “Near-horizon extreme Kerr magnetospheres,” Phys. Rev. D 93

Original

2016