Built on

P. Rana and A. Mangalam, “Astrophysically relevant bound trajectories around a Kerr black hole,” Class. Quant. Grav
Original
1901
Earlier work this paper cites.
B. Chen, G. Compère, Y. Liu, J. Long and X. Zhang, “Spin and Quadrupole Couplings for High Spin Equatorial Intermediate Mass-ratio Coalescences,” Class. Quant. Grav. 36
Original
1901
Earlier work this paper cites.
A. Apte and S. A. Hughes, “Exciting black hole modes via misaligned coalescences: I. Inspiral, transition, and plunge trajectories using a generalized Ori-Thorne procedure,” 1901.05901
Original
1901
Earlier work this paper cites.
J.-P. Luminet, “An Illustrated History of Black Hole Imaging : Personal Recollections (1972-2002),” 1902.11196
Original
1902
Earlier work this paper cites.
D. Kapec and A. Lupsasca, “Particle motion near high-spin black holes,” Class. Quant. Grav
Original
1905
Earlier work this paper cites.
S. E. Gralla, D. E. Holz, and R. M. Wald, “Black Hole Shadows, Photon Rings, and Lensing Rings,” Phys. Rev
Original
1906
Earlier work this paper cites.
Event Horizon Telescope
Original
1906
Earlier work this paper cites.
G. Compère, K. Fransen, and C. Jonas, “Transition from inspiral to plunge into a highly spinning black hole,” accepted in Class. Quant. Grav., 1909.12848
Original
1909
Earlier work this paper cites.
O. Burke, J. R. Gair, and J. Simón, “Transition from Inspiral to Plunge: A Complete Near-Extremal Waveform,” 1909.12846
Original
1909
Earlier work this paper cites.
S. E. Gralla and A. Lupsasca, “The Null Geodesics of the Kerr Exterior,” 1910.12881
Original
1910
Earlier work this paper cites.
S. E. Gralla and A. Lupsasca, “Lensing by Kerr Black Holes,” 1910.12873
Original
1910
Earlier work this paper cites.
L. C. Stein and N. Warburton, “The location of the last stable orbit in Kerr spacetime,” 1912.07609
Original
1912
Earlier work this paper cites.
S. Bochner, “Curvature and Betti numbers,” Annals of Mathematics
1948
Earlier work this paper cites.
K. Yano, “Some remarks on tensor fields and curvature,” Annals of Mathematics
1952
Earlier work this paper cites.
B. Carter, “Global structure of the Kerr family of gravitational fields,” Phys. Rev
1968
Earlier work this paper cites.
B. Carter, “Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations,” Commun. Math. Phys
1968
Earlier work this paper cites.
B. Carter, “Global structure of the Kerr family of gravitational fields,” Phys. Rev
1968
Earlier work this paper cites.
M. Walker and R. Penrose, “On quadratic first integrals of the geodesic equations for type [22] spacetimes,” Commun. Math. Phys
1970
Earlier work this paper cites.
D. C. Wilkins, “Bound Geodesics in the Kerr Metric,” Phys. Rev
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,” Astrophys. J
1972
Earlier work this paper cites.
J. M. Bardeen, “Timelike and null geodesics in the Kerr metric,” Black holes (Les Astres Occlus), C. Dewitt and B. S. Dewitt, eds. Gordon and Breach Science Publishers
1973
Earlier work this paper cites.

Similar

S. A. Teukolsky, “Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations,” Astrophys. J
1973
Cited alongside, same era.
Jan., 1973
R. Penrose, “Naked Singularities,” in Sixth Texas Symposium on Relativistic Astrophysics · 1973
Cited alongside, same era.
PhD thesis, London University, London, UK, 1973
R. Floyd, The Dynamics of Kerr Fields · 1973
Cited alongside, same era.
J. P. Luminet, “Image of a spherical black hole with thin accretion disk,” Astron. Astrophys
1979
Cited alongside, same era.
M. Sasaki and T. Nakamura, “Gravitational Radiation From a Kerr Black Hole. 1. Formulation and a Method for Numerical Analysis,” Prog. Theor. Phys
1982
Cited alongside, same era.
The International Series of Monographs on Physics, Oxford: Clarendon Press, 1983

Then

I. Bredberg, T. Hartman, W. Song, and A. Strominger, “Black Hole Superradiance From Kerr/CFT,” JHEP
Original
2010
Later among the works it cites.
A. Galajinsky, “Particle dynamics near extreme Kerr throat and supersymmetry,” JHEP
Original
2010
Later among the works it cites.
G. V. Kraniotis, “Precise analytic treatment of Kerr and Kerr-(anti) de Sitter black holes as gravitational lenses,” Class. Quant. Grav
Original
2011
Later among the works it cites.
A. M. Al Zahrani, V. P. Frolov, and A. A. Shoom, “Particle Dynamics in Weakly Charged Extreme Kerr Throat,” Int. J. Mod. Phys
Original
2011
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,” Phys. Rev

Beyond the bibliography

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

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Reading the bibliography…

2020

Near-horizon geodesics of high-spin black holes

Compère, Geoffrey, Druart, Adrien

Understand

We provide an exhaustive and illustrated classification of timelike and null geodesics in the near-horizon region of near-extremal Kerr black holes.

The classification of polar motion extends to Kerr black holes of arbitrary spin.
The classification of radial motion leads to a simple parametrization of the separatrix between bound and unbound motion.
Furthermore, we prove that each timelike or null geodesic is related via conformal transformations and discrete symmetries to spherical orbits and we provide the explicit mappings.

Built on

P. Rana and A. Mangalam, “Astrophysically relevant bound trajectories around a Kerr black hole,” Class. Quant. Grav
Original
1901
Earlier work this paper cites.
B. Chen, G. Compère, Y. Liu, J. Long and X. Zhang, “Spin and Quadrupole Couplings for High Spin Equatorial Intermediate Mass-ratio Coalescences,” Class. Quant. Grav. 36
Original
1901
Earlier work this paper cites.
A. Apte and S. A. Hughes, “Exciting black hole modes via misaligned coalescences: I. Inspiral, transition, and plunge trajectories using a generalized Ori-Thorne procedure,” 1901.05901
Original
1901
Earlier work this paper cites.
J.-P. Luminet, “An Illustrated History of Black Hole Imaging : Personal Recollections (1972-2002),” 1902.11196
Original
1902
Earlier work this paper cites.
D. Kapec and A. Lupsasca, “Particle motion near high-spin black holes,” Class. Quant. Grav
Original
1905
Earlier work this paper cites.
S. E. Gralla, D. E. Holz, and R. M. Wald, “Black Hole Shadows, Photon Rings, and Lensing Rings,” Phys. Rev
Original
1906
Earlier work this paper cites.
Event Horizon Telescope
Original
1906
Earlier work this paper cites.
G. Compère, K. Fransen, and C. Jonas, “Transition from inspiral to plunge into a highly spinning black hole,” accepted in Class. Quant. Grav., 1909.12848
Original
1909
Earlier work this paper cites.
O. Burke, J. R. Gair, and J. Simón, “Transition from Inspiral to Plunge: A Complete Near-Extremal Waveform,” 1909.12846
Original
1909
Earlier work this paper cites.
S. E. Gralla and A. Lupsasca, “The Null Geodesics of the Kerr Exterior,” 1910.12881
Original
1910
Earlier work this paper cites.
S. E. Gralla and A. Lupsasca, “Lensing by Kerr Black Holes,” 1910.12873
Original
1910
Earlier work this paper cites.
L. C. Stein and N. Warburton, “The location of the last stable orbit in Kerr spacetime,” 1912.07609
Original
1912
Earlier work this paper cites.
S. Bochner, “Curvature and Betti numbers,” Annals of Mathematics
1948
Earlier work this paper cites.
K. Yano, “Some remarks on tensor fields and curvature,” Annals of Mathematics
1952
Earlier work this paper cites.
B. Carter, “Global structure of the Kerr family of gravitational fields,” Phys. Rev
1968
Earlier work this paper cites.
B. Carter, “Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations,” Commun. Math. Phys
1968
Earlier work this paper cites.
B. Carter, “Global structure of the Kerr family of gravitational fields,” Phys. Rev
1968
Earlier work this paper cites.
M. Walker and R. Penrose, “On quadratic first integrals of the geodesic equations for type [22] spacetimes,” Commun. Math. Phys
1970
Earlier work this paper cites.
D. C. Wilkins, “Bound Geodesics in the Kerr Metric,” Phys. Rev
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,” Astrophys. J
1972
Earlier work this paper cites.
J. M. Bardeen, “Timelike and null geodesics in the Kerr metric,” Black holes (Les Astres Occlus), C. Dewitt and B. S. Dewitt, eds. Gordon and Breach Science Publishers
1973
Earlier work this paper cites.

Similar

S. A. Teukolsky, “Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations,” Astrophys. J
1973
Cited alongside, same era.
Jan., 1973
R. Penrose, “Naked Singularities,” in Sixth Texas Symposium on Relativistic Astrophysics · 1973
Cited alongside, same era.
PhD thesis, London University, London, UK, 1973
R. Floyd, The Dynamics of Kerr Fields · 1973
Cited alongside, same era.
J. P. Luminet, “Image of a spherical black hole with thin accretion disk,” Astron. Astrophys
1979
Cited alongside, same era.
M. Sasaki and T. Nakamura, “Gravitational Radiation From a Kerr Black Hole. 1. Formulation and a Method for Numerical Analysis,” Prog. Theor. Phys
1982
Cited alongside, same era.
The International Series of Monographs on Physics, Oxford: Clarendon Press, 1983

Then

I. Bredberg, T. Hartman, W. Song, and A. Strominger, “Black Hole Superradiance From Kerr/CFT,” JHEP
Original
2010
Later among the works it cites.
A. Galajinsky, “Particle dynamics near extreme Kerr throat and supersymmetry,” JHEP
Original
2010
Later among the works it cites.
G. V. Kraniotis, “Precise analytic treatment of Kerr and Kerr-(anti) de Sitter black holes as gravitational lenses,” Class. Quant. Grav
Original
2011
Later among the works it cites.
A. M. Al Zahrani, V. P. Frolov, and A. A. Shoom, “Particle Dynamics in Weakly Charged Extreme Kerr Throat,” Int. J. Mod. Phys
Original
2011
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,” Phys. Rev

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

S. Chandrasekhar, The mathematical theory of black holes · 1983

Cited alongside, same era.

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,” Astrophys. J

1994

Cited alongside, same era.

A. K. Peters, Ltd, 1995

B. O’Neill, The geometry of Kerr black holes · 1995

Cited alongside, same era.

F. D. Ryan, “Effect of gravitational radiation reaction on circular orbits around a spinning black hole,” Phys. Rev

1995

Cited alongside, same era.

J. M. Bardeen and G. T. Horowitz, “The Extreme Kerr throat geometry: A Vacuum analog of AdS(2) x S**2,” Phys. Rev

1999

Cited alongside, same era.

H. Falcke, F. Melia, and E. Agol, “Viewing the shadow of the black hole at the galactic center,” Astrophys. J

2000

Cited alongside, same era.

L. S. Finn and K. S. Thorne, “Gravitational waves from a compact star in a circular, inspiral orbit, in the equatorial plane of a massive, spinning black hole, as observed by LISA,” Phys. Rev

2000

Cited alongside, same era.