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We consider the basic physical properties of matter forming a thin accretion disc in the static and spherically symmetric space-time metric of the vacuum $f(R)$ modified gravity models. The Lagrangian of the generalized gravity theory is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. S. J. Pun , Z. Kovacs , T. Harko

We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete initial data for spacetimes (the full…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Antonios Tsokaros , Kōji Uryū , Stuart L. Shapiro

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose…

General Relativity and Quantum Cosmology · Physics 2013-04-24 J. Diaz-Alonso , D. Rubiera-Garcia

We revisit the classic system of a spherically symmetric black hole in general relativity (i.e., a Schwarzschild black hole) surrounded by a geometrically thin accretion disk. Our purpose is to examine whether one can determine three…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Kenta Hioki , Umpei Miyamoto

We show the analysis of a thin accretion disk around a static and spherically symmetric black hole in dRGT massive gravity. We present the accretion disk analysis in a gravitational theory with a nonzero graviton mass. Also, we study the…

General Relativity and Quantum Cosmology · Physics 2022-03-11 Sobhan Kazempour , Yuan-Chuan Zou , Amin Rezaei Akbarieh

In ApJ (1974), Will solved the perturbation of a Schwarzschild black hole due to a slowly rotating light concentric thin ring, using Green's functions expressed as infinite-sum expansions in multipoles and in the small mass and rotational…

General Relativity and Quantum Cosmology · Physics 2018-04-09 P. Kotlařík , O. Semerák , P. Čížek

We obtain a family of exact solutions describing magnetized black holes in an external gravitational field. Locally the solutions can be interpreted as representing the near-horizon region of a black hole, which interacts with a surrounding…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Jutta Kunz , Petya Nedkova , Stoytcho Yazadjiev

Black holes are probably among the most fascinating objects populating our universe. Their characteristic features found within general relativity, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Koch , Frank Saueressig

We investigate here the thermal properties of accretion disks in a spacetime for some galactic density profiles in spherical symmetry. The matter distributions have a finite outer radius with a naked central singularity. The luminosities of…

General Relativity and Quantum Cosmology · Physics 2021-01-01 Jun-Qi Guo , Pankaj S. Joshi , Ramesh Narayan , Lin Zhang

The general parametrization of spherically symmetric and asymptotically flat black-hole spacetimes in arbitrary metric theories of gravity was suggested in [3]. The parametrization is based on the continued fraction expansion in terms of…

General Relativity and Quantum Cosmology · Physics 2022-05-18 R. A. Konoplya , A. Zhidenko

The galactic black hole is a supermassive black hole located at the center of a galaxy surrounded by a dark matter halo. For the first time, we establish a generic, fully-relativistic formalism to calculate solutions of Einstein's gravity…

General Relativity and Quantum Cosmology · Physics 2024-04-01 Chao Zhang , Guoyang Fu , Chunyu Zhang

We study Einstein gravity coupled to a massless scalar field in a static spherically symmetric space-time in four dimensions. Black hole solutions exist when the kinetic energy of the scalar field is negative, that is, for a phantom field.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , J. C. Fabris , N. Pinto-Neto , M. E. Rodrigues

We consider a wide class of static spherically symmetric black holes of arbitrary dimension with a photon sphere (a hypersurface on which a massless particle can orbit the black hole on unstable circular null geodesics). This class includes…

General Relativity and Quantum Cosmology · Physics 2010-05-20 Yves Décanini , Antoine Folacci , Bernard Raffaelli

We describe the gravitational degrees of freedom of the Schwarzschild black hole by one free variable. We introduce an equation which we suggest to be the Schroedinger equation of the Schwarzschild black hole corresponding to this model. We…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jarmo Makela

We discuss properties of a 4-dimensional Schwarzschild black hole in a spacetime where one of the spatial dimensions is compactified. As a result of the compactification the event horizon of the black hole is distorted. We use Weyl…

High Energy Physics - Theory · Physics 2009-11-10 Andrei V. Frolov , Valeri P. Frolov

In four-dimensional vacuum general relativity the only known static, exact and analytical black hole solution is given by the Schwarzschild spacetime. In this paper this renowned metric is generalised by adding another integrating constant,…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Marco Astorino

One crucial problem in relativistic astrophysics is that of the nature of black hole candidates. It is usually assumed that astrophysical black holes are described by the Schwarzschild or Kerr space-times; however, there is no direct…

General Relativity and Quantum Cosmology · Physics 2020-11-05 J. A. Arrieta-Villamizar , J. M. Velásquez-Cadavid , O. M. Pimentel , F. D. Lora-Clavijo , A. C. Gutiérrez-Piñeres

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

The characteristic features were found in the electromagnetic spectrum of radiation from free falling dipole, when it is fall radially into a Schwarzschild black hole. These features can be used as another method for the black hole mass…

General Relativity and Quantum Cosmology · Physics 2013-04-03 Alexander Shatskiy , Igor Novikov , Liliya Lipatova

The new solution of the Einstein equations in empty space is presented. The solution is constructed using Schwarzschild solution but essentially differs from it. The basic properties of the solution are: the existence of a horizon which is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. S. Dolgov
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