Built on

S.W. Wei, Y.C. Zou, Y.X. Liu and R.B. Mann, “Curvature radius and Kerr black hole shadow,” JCAP 1908
Original
1904
Earlier work this paper cites.
C. Bambi, K. Freese, S. Vagnozzi and L. Visinelli, “Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
R. Shaikh, “Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
H.S. Liu, Z.F. Mai, Y.Z. Li and H. Lü, “Quasi-topological electromagnetism: dark energy, dyonic black holes, stable photon spheres and hidden electromagnetic duality,” arXiv:1907.10876 [hep-th]
Original
1907
Earlier work this paper cites.
R.A. Konoplya, T. Pappas and A. Zhidenko, “Einstein-scalar-Gauss-Bonnet black holes: Analytical approximation for the metric and applications to calculations of shadows,” arXiv:1907.10112 [gr-qc]
Original
1907
Earlier work this paper cites.
M. Wang, S. Chen and J. Jing, “Effect of gravitational wave on shadow of a Schwarzschild black hole,” arXiv:1908.04527 [gr-qc]
Original
1908
Earlier work this paper cites.
A. Das, A. Saha and S. Gangopadhyay, “Shadow of charged black holes in Gauss-Bonnet gravity,” arXiv:1909.01988 [gr-qc]
Original
1909
Earlier work this paper cites.
M. Zhang and M. Guo, “Black hole shadow and black hole thermodynamics,” arXiv:1909.07033 [gr-qc]
Original
1909
Earlier work this paper cites.
L.M. Cao and Y. Song, “Quasi-local photon surfaces in general spherically symmetric spacetimes,” arXiv:1910.13758 [gr-qc]
Original
1910
Earlier work this paper cites.
H. Lü and H.D. Lyu, “On the size of a black hole: the Schwarzschild is the biggest,” arXiv:1911.02019 [gr-qc]
Original
1911
Earlier work this paper cites.
R.P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics,” Phys. Rev. Lett. 11
1963
Earlier work this paper cites.
E.T. Newman and A.I. Janis, “Note on the Kerr spinning particle metric,” J. Math. Phys. 6
1965
Earlier work this paper cites.
E.T. Newman, R. Couch, K. Chinnapared, A. Exton, A. Prakash and R. Torrence, “Metric of a rotating, charged mass,” J. Math. Phys. 6
1965
Earlier work this paper cites.
J.L. Synge, “The escape of photons from gravitationally intense stars,” Mon. Not. Roy. Astron. Soc. 131
1966
Earlier work this paper cites.
R. Penrose, “Naked singularities,” Annals N. Y. Acad. Sci. 224
1973
Earlier work this paper cites.

Similar

J.P. Luminet, “Image of a spherical black hole with thin accretion disk,” Astron. Astrophys. 75
1979
Cited alongside, same era.
A. Sen, “Rotating charged black hole solution in heterotic string theory,” Phys. Rev. Lett. 69
1992
Cited alongside, same era.
M.J. Duff, J.T. Liu and J. Rahmfeld, “Four-dimensional string-string-string triality,” Nucl. Phys. B 459
1996
Cited alongside, same era.
M. Cvetič and D. Youm, “Entropy of nonextreme charged rotating black holes in string theory,” Phys. Rev. D 54
1996
Cited alongside, same era.
A. De Vries, “The apparent shape of a rotating charged black hole, closed photon orbits and the bifurcation set A 4 A_{4} ,” Class. Quant. Grav. 17
2000
Cited alongside, same era.

Then

A. Grenzebach, V. Perlick and C. Lämmerzahl, “Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant,” Phys. Rev. D 89
Original
2014
Later among the works it cites.
U. Papnoi, F. Atamurotov, S.G. Ghosh and B. Ahmedov, “Shadow of five-dimensional rotating Myers-Perry black hole,” Phys. Rev. D 90
Original
2014
Later among the works it cites.
J.W. Moffat, “Modified gravity black holes and their observable shadows,” Eur. Phys. J. C 75
Original
2015
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 scalar hair,” Phys. Rev. Lett. 115
Original
2015
Later among the works it cites.
A. Abdujabbarov, M. Amir, B. Ahmedov and S.G. Ghosh, “Shadow of rotating regular black holes,” Phys. Rev. D 93

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2019

On the Size of Rotating Black Holes

Feng, Xing-Hui, Lu, H.

Understand

Recently a sequence of inequalities relating the black hole horizon, photon sphere, shadow were proposed for spherically symmetric and static black holes, providing the upper bound for given mass.

In this paper, we extend the discussion to include rotating black holes.
When viewed from the north pole direction, the shadow remains a round disk, but the image is skewed when viewed from the equatorial plane.
After properly implementing the ``size'' parameters for the rotating black holes, we verify that the sequence of inequalities remain valid for a variety of solutions, including Kerr, Kerr-Newman, Kerr-Sen and Kerr-Cveti\v c-Youm black holes.

Built on

S.W. Wei, Y.C. Zou, Y.X. Liu and R.B. Mann, “Curvature radius and Kerr black hole shadow,” JCAP 1908
Original
1904
Earlier work this paper cites.
C. Bambi, K. Freese, S. Vagnozzi and L. Visinelli, “Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
R. Shaikh, “Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
H.S. Liu, Z.F. Mai, Y.Z. Li and H. Lü, “Quasi-topological electromagnetism: dark energy, dyonic black holes, stable photon spheres and hidden electromagnetic duality,” arXiv:1907.10876 [hep-th]
Original
1907
Earlier work this paper cites.
R.A. Konoplya, T. Pappas and A. Zhidenko, “Einstein-scalar-Gauss-Bonnet black holes: Analytical approximation for the metric and applications to calculations of shadows,” arXiv:1907.10112 [gr-qc]
Original
1907
Earlier work this paper cites.
M. Wang, S. Chen and J. Jing, “Effect of gravitational wave on shadow of a Schwarzschild black hole,” arXiv:1908.04527 [gr-qc]
Original
1908
Earlier work this paper cites.
A. Das, A. Saha and S. Gangopadhyay, “Shadow of charged black holes in Gauss-Bonnet gravity,” arXiv:1909.01988 [gr-qc]
Original
1909
Earlier work this paper cites.
M. Zhang and M. Guo, “Black hole shadow and black hole thermodynamics,” arXiv:1909.07033 [gr-qc]
Original
1909
Earlier work this paper cites.
L.M. Cao and Y. Song, “Quasi-local photon surfaces in general spherically symmetric spacetimes,” arXiv:1910.13758 [gr-qc]
Original
1910
Earlier work this paper cites.
H. Lü and H.D. Lyu, “On the size of a black hole: the Schwarzschild is the biggest,” arXiv:1911.02019 [gr-qc]
Original
1911
Earlier work this paper cites.
R.P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics,” Phys. Rev. Lett. 11
1963
Earlier work this paper cites.
E.T. Newman and A.I. Janis, “Note on the Kerr spinning particle metric,” J. Math. Phys. 6
1965
Earlier work this paper cites.
E.T. Newman, R. Couch, K. Chinnapared, A. Exton, A. Prakash and R. Torrence, “Metric of a rotating, charged mass,” J. Math. Phys. 6
1965
Earlier work this paper cites.
J.L. Synge, “The escape of photons from gravitationally intense stars,” Mon. Not. Roy. Astron. Soc. 131
1966
Earlier work this paper cites.
R. Penrose, “Naked singularities,” Annals N. Y. Acad. Sci. 224
1973
Earlier work this paper cites.

Similar

J.P. Luminet, “Image of a spherical black hole with thin accretion disk,” Astron. Astrophys. 75
1979
Cited alongside, same era.
A. Sen, “Rotating charged black hole solution in heterotic string theory,” Phys. Rev. Lett. 69
1992
Cited alongside, same era.
M.J. Duff, J.T. Liu and J. Rahmfeld, “Four-dimensional string-string-string triality,” Nucl. Phys. B 459
1996
Cited alongside, same era.
M. Cvetič and D. Youm, “Entropy of nonextreme charged rotating black holes in string theory,” Phys. Rev. D 54
1996
Cited alongside, same era.
A. De Vries, “The apparent shape of a rotating charged black hole, closed photon orbits and the bifurcation set A 4 A_{4} ,” Class. Quant. Grav. 17
2000
Cited alongside, same era.

Then

A. Grenzebach, V. Perlick and C. Lämmerzahl, “Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant,” Phys. Rev. D 89
Original
2014
Later among the works it cites.
U. Papnoi, F. Atamurotov, S.G. Ghosh and B. Ahmedov, “Shadow of five-dimensional rotating Myers-Perry black hole,” Phys. Rev. D 90
Original
2014
Later among the works it cites.
J.W. Moffat, “Modified gravity black holes and their observable shadows,” Eur. Phys. J. C 75
Original
2015
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 scalar hair,” Phys. Rev. Lett. 115
Original
2015
Later among the works it cites.
A. Abdujabbarov, M. Amir, B. Ahmedov and S.G. Ghosh, “Shadow of rotating regular black holes,” Phys. Rev. D 93

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

C.M. Claudel, K.S. Virbhadra and G.F.R. Ellis, “The Geometry of photon surfaces,” J. Math. Phys. 42

2001

Cited alongside, same era.

S.E. Vazquez and E.P. Esteban, “Strong field gravitational lensing by a Kerr black hole,” Nuovo Cim. B 119

2004

Cited alongside, same era.

Z.-W. Chong, M. Cvetič, H. Lü and C.N. Pope, “Charged rotating black holes in four-dimensional gauged and ungauged supergravities,” Nucl. Phys. B 717

2005

Cited alongside, same era.

K. Hioki and U. Miyamoto, “Hidden symmetries, null geodesics, and photon capture in the Sen black hole,” Phys. Rev. D 78