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The Kerr spacetime is symmetric with respect to a well-defined equatorial plane. When testing the equatorial reflection symmetry of an isolated black hole, one is at the same time testing the Kerr hypothesis in General Relativity. In this…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Che-Yu Chen , Hung-Yi Pu

In the vicinity of black holes, the influence of strong gravity, plasma physics, and emission processes govern the behavior of the system. Since observations such as those carried out by the EHT are not yet able to unambiguously constrain…

High Energy Astrophysical Phenomena · Physics 2023-03-22 Jan Röder , Alejandro Cruz-Osorio , Christian M. Fromm , Yosuke Mizuno , Ziri Younsi , Luciano Rezzolla

Rotating disks with nonzero radial pressure and finite radius are studied. The models are based in the Taub-NUT metric and constructed using the well-known ``displace, cut and reflect'' method. We find that the disks are made of perfect…

General Relativity and Quantum Cosmology · Physics 2009-06-14 Guillermo A. Gonzalez

We investigate thick accretion structures around Kerr black holes in a swirling background. This stationary and axisymmetric spacetime is composed of a rotating black hole, which is immersed in a rotating background. The swirling background…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Kristian Gjorgjieski , Rogério Capobianco

The magnetic reconnection process is analyzed for relativistic magnetohydrodynamical plasmas around rotating black holes. A simple generalization of the Sweet-Parker model is used as a first approximation to the problem. The reconnection…

High Energy Astrophysical Phenomena · Physics 2017-02-03 Felipe A. Asenjo , Luca Comisso

Disks of collisionless particles are important models for certain galaxies and accretion disks in astrophysics. We present here a solution to the stationary axisymmetric Einstein equations which represents an infinitesimally thin dust disk…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Klein , O. Richter

The first fully integrated explicit exact solution of the Einstein field equations corresponding to the superposition of a counterrotating dust disk with a central black hole is presented. The obtained solution represents an infinite…

General Relativity and Quantum Cosmology · Physics 2008-11-20 Guillermo A. González , Antonio C. Gutiérrez-Piñeres

We present a solution to the time discontinuity paradox in rotating reference frames by postulating that time is periodic. A kinematic restriction is enforced that requires the discontinuity to be an integral number of the periodicity of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert D. Bock

We present new numerical cosmological solutions of the Einstein Field Equations. The spacetime is spherically symmetric with a source of dust and radiation approximated as a perfect fluid. The dust and radiation are necessarily non-comoving…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-14 Woei Chet Lim , Marco Regis , Chris Clarkson

We find a family of exact solutions of Einstein equations describing the field of a static axisymmetric thin disk living in six-dimensional space-time. In particular, we study the disks constructed (by cutting out the central part of the…

Astrophysics · Physics 2007-08-27 Carlos H. Coimbra-Araujo , Patricio S. Letelier

We investigate the time evolution of the redshift of the spectrum of electromagnetic radiation that is emitted by the star that moves in the vicinity of supermassive black hole. For the case of Schwarzschild black hole we solve this problem…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Stanislav Komarov , Alexander Gorbatsievich

We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Petr Kotlařík , David Kofroň

We solve a class of boundary value problems for the stationary axisymmetric Einstein equations corresponding to a disk of dust rotating uniformly around a central black hole. The solutions are given explicitly in terms of theta functions on…

Exactly Solvable and Integrable Systems · Physics 2011-05-09 Jonatan Lenells

We consider the Kerr-de Sitter (Kerr-dS) black hole in various dimensions. Introducing a counterterm, we show that the total action of these spacetimes are finite. We compute the masses and the angular momenta of Kerr-dS spaces with one…

High Energy Physics - Theory · Physics 2009-11-07 M. H. Dehghani

Cosmic dust is present in many astrophysical objects, and recent observations across the electromagnetic spectrum show that the dust distribution is often strongly three-dimensional (3D). Dust grains are effective in absorbing and…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Juergen Steinacker , Maarten Baes , Karl Gordon

Gravitational redshift is generally calculated without considering the rotation of a body. Neglecting the rotation, the geometry of space time can be described by using the spherically symmetric Schwarzschild geometry. Rotation has great…

General Relativity and Quantum Cosmology · Physics 2015-10-19 Anuj Kumar Dubey , A K Sen

We present a pseudo-Newtonian potential for accretion disk modeling around the rotating black holes. This potential can describe the general relativistic effects on accretion disk. As the inclusion of rotation in a proper way is very…

Astrophysics · Physics 2009-11-07 Banibrata Mukhopadhyay

We present the first analytical superposition of a charged black hole with an annular disk of extremal dust. In order to obtain the solutions, we first solve the Einstein-Maxwell field equations for sources that represent disk-like…

General Relativity and Quantum Cosmology · Physics 2010-10-07 F. D. Lora-Clavijo , P. A. Ospina-Henao , J. F. Pedraza

A family of exact solutions is presented which represents a rigidly rotating cylinder of dust in a background with a negative cosmological constant. The interior of the infinite cylinder is described by the Godel solution. An exact solution…

General Relativity and Quantum Cosmology · Physics 2015-05-18 J. B. Griffiths , N. O. Santos

X-ray reflection models are used to constrain the properties of the accretion disk, such as the degree of ionization of the gas and the elemental abundances. In combination with general relativistic ray tracing codes, additional parameters…

High Energy Astrophysical Phenomena · Physics 2015-06-18 J. Garcia , T. Dauser , A. Lohfink , T. R. Kallman , J. Steiner , J. E. McClintock , L. Brenneman , J. Wilms , W. Eikmann , C. S. Reynolds , F. Tombesi