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We continue the study of time-like geodesic dynamics in exact static, axially and reflection symmetric space-times describing the fields of a Schwarzschild black hole surrounded by thin discs or rings. In the first paper of this series, the…

General Relativity and Quantum Cosmology · Physics 2013-11-15 P. Suková , O. Semerák

The full metric describing two counter-rotating identical Kerr black holes separated by a massless strut is derived in the explicit analytical form. It contains three arbitrary parameters which are the Komar mass M, Komar angular momentum…

General Relativity and Quantum Cosmology · Physics 2008-12-30 V. S. Manko , E. D. Rodchenko , E. Ruiz , B. I. Sadovnikov

We perform a full 3D general relativistic magnetohydrodynamical (GRMHD) simulation of an equal-mass, spinning, binary black hole approaching merger, surrounded by a circumbinary disk and with mini-disks around each black hole. For this…

High Energy Astrophysical Phenomena · Physics 2022-04-13 Luciano Combi , Federico G. Lopez Armengol , Manuela Campanelli , Scott C. Noble , Mark Avara , Julian H. Krolik , Dennis Bowen

We study some general properties of two black hole solutions in Einstein's conformal gravity. Both solutions can be obtained from the Kerr metric with a suitable conformal rescaling, which leads, respectively, to a regular and a singular…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Qiqi Zhang , Leonardo Modesto , Cosimo Bambi

We prescribe a method to study the effects of self-gravity of accretion disk around a black hole associated with long Gamma Ray Bursts (GRBs) in an evolving background Kerr metric. This is an extension to our previous work where we…

High Energy Astrophysical Phenomena · Physics 2020-06-02 Ishika Palit , Agnieszka Janiuk , Petra Sukova

We consider binary systems of coalescing, nonspinning, black holes of masses $m_{1}$ and $m_{2}$ and show that the gravitational recoil velocity for any mass ratio can be obtained accurately by extrapolating the waveform of the test-mass…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alessandro Nagar

We present the gravitational-wave flux balance law in an extreme mass-ratio binary with a spinning secondary. This law relates the flux of energy (angular momentum) radiated to null infinity and through the event horizon to the local change…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Sarp Akcay , Sam R. Dolan , Chris Kavanagh , Jordan Moxon , Niels Warburton , Barry Wardell

Kerr black holes are among the most intriguing predictions of Einstein's general relativity theory. These rotating massive astrophysical objects drag and intermix their surrounding space and time, deflecting and phase-modifying light…

General Relativity and Quantum Cosmology · Physics 2011-05-18 Fabrizio Tamburini , Bo Thidé , Gabriel Molina-Terriza , Gabriele Anzolin

We consider warped equilibrium configurations for stellar and gaseous disks in the Keplerian force-field of a supermassive black hole, assuming that the self-gravity of the disk provides the only acting torques. Modeling the disk as a…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 A. Ulubay-Siddiki , O. Gerhard , M. Arnaboldi

We investigate the kinetic properties of collisionless Vlasov gas in Kerr-Newman spacetime, analyzing how spacetime symmetries constrain the distribution functions. The distribution function is shown to depend solely on the constants of…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yong-qiang Liu

There is a growing literature on dyonic black holes as they appear in string theory. Here we examine the correspondence limit of a dyonic black hole which is not supersymmetric. Assuming the existence of a dyon with non-supersymmetric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. C. Cadavid , R. J. Finkelstein

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

We present fully general-relativistic numerical evolutions of self-gravitating tori around spinning black holes with dimensionless spin $a/M = 0.7$ parallel or anti-parallel to the disk angular momentum. The initial disks are unstable to…

High Energy Astrophysical Phenomena · Physics 2021-03-03 Erik Wessel , Vasileios Paschalidis , Antonios Tsokaros , Milton Ruiz , Stuart L. Shapiro

We consider the steady-state density and velocity dispersion profiles of collisionless matter around a Schwarzschild black hole (BH) and its associated rate of accretion onto the BH. We treat matter, which could be stars or dark matter…

Astrophysics of Galaxies · Physics 2023-10-25 Stuart L. Shapiro

We provide an invariant characterization of the physical properties of the Kerr spacetime. We introduce two dimensionless invariants, constructed out of some known curvature invariants, that act as detectors for the event horizon and…

General Relativity and Quantum Cosmology · Physics 2015-04-14 Majd Abdelqader , Kayll Lake

We present a solution for rotating black holes in massive gravity. We first give a solution of massive gravity with one dynamical metric. Both metrics of this solution are expressed in the advanced Eddington-Finkelstein-like coordinates:…

General Relativity and Quantum Cosmology · Physics 2014-11-07 Eugeny Babichev , Alessandro Fabbri

We examine radiation and its effects on accretion disks orbiting astrophysical black holes. These disks are thermally radiating and can be geometrically and optically thin or thick. In this first paper of the series, we discuss the physics…

Instrumentation and Methods for Astrophysics · Physics 2022-12-06 Leela Elpida Koutsantoniou

The Klein-Gordon equation for a massive scalar field in the background of a rapidly-rotating Kerr black hole is studied analytically. In particular, we derive a simple formula for the stationary (marginally-stable) resonances of the field…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shahar Hod

The problem of merging in black holes the rotation and a massless scalar field is treated. It is argued in the comment that the Kerr-like and Demianski-like metrics in General Relativity with a free massless scalar field or in the free…

General Relativity and Quantum Cosmology · Physics 2013-06-26 Yu. F. Pirogov

The merger process of a binary black hole system can have a strong impact on a circumbinary disk. In the present work we study the effect of both central mass reduction (due to the energy loss through gravitational waves) and a possible…

High Energy Astrophysical Phenomena · Physics 2009-09-02 Miguel Megevand , Matthew Anderson , Juhan Frank , Eric W. Hirschmann , Luis Lehner , Steven L. Liebling , Patrick M. Motl , David Neilsen