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We study the wave equation for a stationary Lorentzian metric in the case of two space dimensions. Assuming that the metric has a singularity of the appropriate form, surrounded by an ergosphere which is a smooth Jordan curve, we prove the…

Mathematical Physics · Physics 2016-08-10 Gregory Eskin , Michael A Hall

The initial data of gravity for a cylindrical matter distribution confined to a brane are studied in the framework of the single-brane Randall-Sundrum scenario. In this scenario, the 5-dimensional nature of gravity appears in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kouji Nakamura , Ken-ichi Nakao , Takeshi Mishima

We present a quantum theory of black hole (and other) horizons, in which the standard assumptions of complementarity are preserved without contradicting information theoretic considerations. After the scrambling time, the quantum mechanical…

High Energy Physics - Theory · Physics 2013-11-13 Yasunori Nomura , Jaime Varela , Sean J. Weinberg

A new theorem for black holes is established. The mass of a black hole depends on where the observer is. The horizon mass theorem states that for all black holes: neutral, charged or rotating, the horizon mass is always twice the…

General Relativity and Quantum Cosmology · Physics 2011-01-18 Yuan K. Ha

Black holes are among the most intriguing objects in modern physics. Their influence ranges from powering quasars and other active galactic nuclei, to providing key insights into quantum gravity. We review the observational evidence for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gary T. Horowitz , Saul A. Teukolsky

Exact solutions of Einstein's equations in 2+1-dimensional anti-de Sitter space containing any number of black holes are described. In addition to the black holes these spacetimes can possess ``internal'' structure. Accordingly the generic…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Dieter Brill

We study the photon's motion around a black hole in the presence of a plasma whose density is a function of the radius coordinate by a renewed ray-tracing algorithm and investigate the influence of the plasma on the shadow of the black…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Yang Huang , Yi-Ping Dong , Dao-Jun Liu

Quantum considerations have led many theorists to believe that classical black hole physics is modified not just deep inside black holes but at {\it horizon scales}, or even further outward. The near-horizon regime has just begun to be…

General Relativity and Quantum Cosmology · Physics 2016-11-14 Steven B. Giddings

The classical spacetime is usually described by a differentiable manifold with infinitely many degrees of freedom. Occasionally though, it is useful to consider an approximation whose number of degrees of freedom is finite. There are…

General Relativity and Quantum Cosmology · Physics 2020-12-22 Jakub Káninský

We calculate the maximum interior volume, enclosed by the event horizon, of a ($1+D$)-dimensional Schwarzschild black hole. Taking into account the mass change due to Hawking radiation, we show that the volume increases towards the end of…

General Relativity and Quantum Cosmology · Physics 2018-01-22 Nilanjandev Bhaumik , Bibhas Ranjan Majhi

Black hole shadows and photon spheres offer valuable tools for investigating black hole properties. Recent observations by the Event Horizon Telescope Collaboration have confirmed the existence of rotating black holes. Black hole parameters…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Vitalii Vertogradov , Ali Övgün , Reggie C. Pantig

The Babichev-Dokuchaev-Eroshenko model for the accretion of dark energy onto black holes has been extended to deal with black holes with non-static metrics. The possibility that for an asymptotic observer a black hole with large mass will…

Astrophysics · Physics 2008-11-26 Prado Martin-Moruno , Jose A. Jimenez Madrid , Pedro F. Gonzalez-Diaz

We consider a particle falling into a rotating black hole. Such a particle makes an infinite number of revolutions $n$ from the viewpoint of a remote observer who uses the Boyer-Lindquist type of coordinates. We examine the behavior of $n$…

General Relativity and Quantum Cosmology · Physics 2018-01-11 Yu. V. Pavlov , O. B. Zaslavskii

In this work we derive novel analytical expressions for the mass and distance of a Schwarzschild black hole (BH), as well as for the orbital radius of test particles orbiting it, it terms of astrophysical observables measured throughout the…

General Relativity and Quantum Cosmology · Physics 2026-05-12 J. R. Fernández-Moreno , A. González-Juárez , A. Herrera-Aguilar

Masses of black holes in nearby galactic nuclei can be measured in a variety of ways, using stellar and gaseous kinematics. Reliable black hole masses are known for several dozen objects, so that demographic questions can start to be…

Astrophysics · Physics 2009-10-31 Tim de Zeeuw

The role of the wandering null geodesic is studied in a black hole spacetime. Based on the continuity of the solution of the geodesic equation, the wandering null geodesics commonly exist and explain the typical phenomena of the optical…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Masaru Siino

A brief summary of the properties of astrophysical black holes is presented. Various modes of accretion are distinguished, corresponding to accretion at rates from well below to well above the Eddington rate. The importance of mass loss is…

Astrophysics · Physics 2007-05-23 Roger. D. Blandford

We try to solve the problem about how to probe the inside of a black hole. We show that in the framework of revised quantum dynamics, which may naturally result from the combination of quantum mechanics and general relativity, the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rui Qi

The applicability and apparent uncertainties of the techniques currently available for measuring or estimating black-hole masses in AGNs are briefly summarized.

Astrophysics · Physics 2007-05-23 M. Vestergaard

Black hole evaporation is investigated in a (1+1)-dimensional model of quantum gravity. Quantum corrections to the black hole entropy are computed, and the fine-grained entropy of the Hawking radiation is studied. A generalized second law…

High Energy Physics - Theory · Physics 2009-09-25 Thomas M. Fiola , John Preskill , Andrew Strominger , Sandip P. Trivedi