Photon regions and umbilic conditions in stationary axisymmetric spacetimes

D. V. Gal’tsov and K. V. Kobialko, “Completing characterization of photon orbits in Kerr and Kerr-Newman metrics,” Phys. Rev. D 99

Original

1901

Earlier work this paper cites.

C. Cederbaum and S. Jahns, “Geometry and topology of the Kerr photon region in the phase space,” Gen. Rel. Grav. 51

Original

1904

Earlier work this paper cites.

A. B. Abdikamalov, A. A. Abdujabbarov, D. Ayzenberg, D. Malafarina, C. Bambi and B. Ahmedov, “A black hole mimicker hiding in the shadow: Optical properties of the γ \gamma metric,” arXiv:1904.06207 [gr-qc]

Original

1904

Earlier work this paper cites.

D. V. Gal’tsov and K. V. Kobialko, “Photon trapping in static axially symmetric spacetime,” Phys. Rev. D 100

Original

1906

Earlier work this paper cites.

Y. Koga and T. Harada, “Stability of null orbits on photon spheres and photon surfaces,” Phys. Rev. D 100

Original

1907

Earlier work this paper cites.

J. O. Shipley, “Strong-field gravitational lensing by black holes,” [arXiv:1909.04691 [gr-qc]]

Original

1909

Earlier work this paper cites.

H. Yoshino, K. Izumi, T. Shiromizu and Y. Tomikawa, “Transversely trapping surfaces: Dynamical version,” arXiv:1909.08420 [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.

C. Cederbaum and G. J. Galloway, “Photon surfaces with equipotential time-slices,” arXiv:1910.04220 [math.DG]

Original

1910

Earlier work this paper cites.

H. Yoshino, K. Izumi, T. Shiromizu and Y. Tomikawa, “Formation of dynamically transversely trapping surfaces and the stretched hoop conjecture,” arXiv:1911.09893 [gr-qc]

Original

1911

Earlier work this paper cites.

X. H. Feng and H. Lu, “On the Size of Rotating Black Holes,” [arXiv:1911.12368 [gr-qc]]

Original

1911

Earlier work this paper cites.

D. M. Zipoy, J. Math. Phys. 7

1966

Earlier work this paper cites.

M. Okumura, “Totally umbilical hypersurfaces of a locally product Riemannian manifold,” Kodai Math. Sem. Rep. 19

1967

Earlier work this paper cites.

B. H. Voorhees, “Static axially symmetric gravitational fields,” Phys. Rev. D 2

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.

N. J. Cornish and G. W. Gibbons, “The Tale of two centers,” Class. Quant. Grav. 14

1997

Cited alongside, same era.

K. S. Virbhadra and G. F. R. Ellis, “Schwarzschild black hole lensing,” Phys. Rev. D 62

2000

Cited alongside, same era.

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.

R. Q. Yang and H. Lu, “Universal bounds on the size of a black hole,” [arXiv:2001.00027 [gr-qc]]

Original

2001

Cited alongside, same era.

K. S. Virbhadra and G. F. R. Ellis, “Gravitational lensing by naked singularities,” Phys. Rev. D 65

2002

Cited alongside, same era.

E. Teo, “Spherical photon orbits around a Kerr black hole,” Gen. Rel. Grav 35

S. S. Yazadjiev, “Uniqueness of the static spacetimes with a photon sphere in Einstein-scalar field theory,” Phys. Rev. D 91

Original

2015

Later among the works it cites.

S. Yazadjiev and B. Lazov, “Uniqueness of the static Einstein–Maxwell spacetimes with a photon sphere,” Class. Quant. Grav. 32

Original

2015

Later among the works it cites.

G. W. Gibbons and C. M. Warnick, “Aspherical Photon and Anti-Photon Surfaces,” Phys. Lett. B 763

Original

2016

Later among the works it cites.

C. Cederbaum and G. J. Galloway, “Uniqueness of photon spheres in electro-vacuum spacetimes,” Class. Quant. Grav. 33

Original

2016

Later among the works it cites.

S. Yazadjiev and B. Lazov, “Classification of the static and asymptotically flat Einstein-Maxwell-dilaton spacetimes with a photon sphere,” Phys. Rev. D 93