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We investigate gravitational lensing by a photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime in strong deflection limits. Because of the nonexistence of an event horizon and the existence of a potential barrier near an…

General Relativity and Quantum Cosmology · Physics 2021-12-06 Naoki Tsukamoto

Boundary conditions defining a generic isolated horizon are introduced. They generalize the notion available in the existing literature by allowing the horizon to have distortion and angular momentum. Space-times containing a black hole,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Abhay Ashtekar , Christopher Beetle , Olaf Dreyer , Stephen Fairhurst , Badri Krishnan , Jerzy Lewandowski , Jacek Wisniewski

We construct the spacetime in the vicinity of a general isolated, rotating, charged black hole. The black hole is modeled as a weakly isolated horizon, and we use the characteristic initial value formulation of the Einstein equations with…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Badri Krishnan

We investigate gravitational lensing by a primary photon sphere which is a sphere filled with unstable circular light orbits, and by a secondary photon sphere on a wormhole throat in a black-bounce spacetime which is suggested in [F. S. N.…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Naoki Tsukamoto

We explore the possibility that spacetime horizons in 4D general relativity can be treated as manifestations of higher dimensions that induce fields on our 4D spacetime. In this paper we discuss the black hole event horizon, as an example…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Manasse R. Mbonye

The photon sphere, a hypersurface of null circular geodesics, plays a fundamental role in characterizing black hole spacetimes, influencing phenomena such as black hole shadows, gravitational lensing, and quasinormal modes. In this work, we…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Yong Song , Jiaqi Fu , Yiting Cen

In this paper we derive exact analytical formulas for the evolution of the photon sphere and for the angular radius of the shadow in a special Vaidya spacetime. The Vaidya metric describes a spherically symmetric object that gains or loses…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Jay Solanki , Volker Perlick

We demonstrate that at the rim of photon sphere of a black hole the quantum collective transition takes place in any multiparticle system of indistinguishable particles at passing inward this limiting sphere. This transition is related to…

General Physics · Physics 2023-04-21 Janusz E. Jacak

Important classes of null geodesics and hidden symmetries in the Sen black hole are investigated. First, we obtain the principal null geodesics and circular photon orbits. Then, an irreducible rank-two Killing tensor and a conformal Killing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kenta Hioki , Umpei Miyamoto

A direct very simple proof that there can be no closed trapped surfaces (ergo no black hole regions) in spacetimes with all curvature scalar invariants vanishing is given. Explicit examples of the recently introduced ``dynamical horizons''…

High Energy Physics - Theory · Physics 2009-11-10 José M M Senovilla

We investigate the wave optics in spherically symmetric spacetimes: Schwarzschild black hole, spherical star with a perfect absorbing surface, and massless/massive Ellis wormholes. Assuming a point wave source, wave pattern and power…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Yasusada Nambu , Sousuke Noda , Yuichiro Sakai

Recently, asymptotically-flat black holes with multiple photon spheres have been discovered and found to produce distinctive observational signatures. In this paper, we focus on whether these black hole solutions are physically viable,…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Guangzhou Guo , Yuhang Lu , Peng Wang , Houwen Wu , Haitang Yang

Spherical configurations that are very massive must be surrounded by apparent horizons. These in turn, when placed outside a collapsing body, have a fixed area and must propagate outward with a velocity equal to the velocity of radially…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Edward Malec

A general integral inequality is established for compact spacelike submanifolds of codimension two in the Lorentz-Minkowski spacetime under the assumption that the mean curvature vector field is parallel. This inequality is then used to…

Differential Geometry · Mathematics 2025-07-31 Francisco J. Palomo , Alfonso Romero

We examine the observational discrepancies of two widely used models describing anisotropic (dark) matter distributions around a black hole, focusing on their photon spheres, shadow radii, and lensing observables. The models considered are…

General Relativity and Quantum Cosmology · Physics 2026-03-26 M. F. Fauzi , H. S. Ramadhan , A. Sulaksono

A simple, geometrical construction is given for three-dimensional spacetimes with negative cosmological constant that contain two particles colliding head-on. Depending on parameters like particle masses and distance, the combined geometry…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Dieter Brill , Puneet Khetarpal , Vijay Kaul

Event horizons are a defining feature of black holes. Consequently, there have been many efforts to probe their existence in astrophysical black hole candidates, spanning ten orders of magnitude in mass. Nevertheless, horizons remain an…

High Energy Astrophysical Phenomena · Physics 2026-02-19 Shokoufe Faraji , Avery E. Broderick

We consider spherically symmetric and static charged black holes in Einstein-Gauss-Bonnet-Maxwell gravities in general $D\ge 5$ dimensions and study their photon spheres and black hole shadows. We show that they all satisfy the sequence of…

General Relativity and Quantum Cosmology · Physics 2020-06-10 Liang Ma , H. Lu

Regular black hole is one of the bottom-up solutions designed to eliminate the singularity at the center of black holes. Its horizonless solution has gained interest recently to model ultracompact star. Despite interesting, this proposal is…

General Relativity and Quantum Cosmology · Physics 2024-11-26 M. F. Fauzi , H. S. Ramadhan , A. Sulaksono

Accurate and powerful computational methods developed by the author for the wave scattering by black holes allow to obtain the highly non trivial total absorption spectrum of the Black Hole. As well as partial wave phase shifts and cross…

High Energy Physics - Theory · Physics 2017-08-23 N. Sanchez
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