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We consider the equatorial circular motion of a test particle of specific charge q/m << 1 in the Kerr-Newman geometry of a rotating charged black hole. We find the particle's conserved energy and conserved projection of the angular momentum…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rossen I. Ivanov , Emil M. Prodanov

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

In this work we consider black holes surrounded by anisotropic fluids in four dimensions. We first study the causal structure of these solutions showing some similarities and differences with Reissner-Nordstr\"om-de Sitter black holes. In…

General Relativity and Quantum Cosmology · Physics 2020-11-20 B. Cuadros-Melgar , R. D. B. Fontana , Jeferson de Oliveira

Exploiting a rotating Schwarzschild black hole metric, we study hydrodynamic properties of perfect fluid whirling inward toward the black holes along a conical surface. On the equatorial plane of the rotating Schwarzschild black hole, we…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Soon-Tae Hong , Sung-Won Kim

We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field…

General Relativity and Quantum Cosmology · Physics 2011-05-23 A. N. Aliev , N. Ozdemir

First post-Newtonian (1PN) hydrostatic equations for an irrotational fluid which have been recently derived are solved for an incompressible star. The 1PN configurations are expressed as a deformation of the Newtonian irrotational Riemann…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Keisuke Taniguchi , Hideki Asada , Masaru Shibata

A class of exact rotating black hole solutions of gravity nonminimally coupled to a self-interacting scalar field in arbitrary dimensions is presented. These spacetimes are asymptotically locally anti-de Sitter manifolds and have a…

High Energy Physics - Theory · Physics 2018-01-31 Cristián Erices , Cristian Martinez

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

Investigating the rigidly rotating disc of dust with constant specific charge, we find that it leads to an extreme Kerr-Newman black hole in the ultra-relativistic limit. A necessary and sufficient condition for a black hole limit is, that…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Martin Breithaupt , Yu-Chun Liu , Reinhard Meinel , Stefan Palenta

Matter makes a transition from non-relativistic to relativistic regime, as it falls onto a black hole. We employ a relativistic equation of state, abbreviated as RC, to study multi-species fluid flow around black holes. We show that…

High Energy Astrophysical Phenomena · Physics 2013-10-01 Indranil Chattopadhyay

We study the symmetries enjoyed by the Newtonian equations of motion of the non-relativistic dark matter fluid coupled to gravity which give rise to the phenomenon of gravitational instability. We also discuss some consistency relations…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 A. Kehagias , A. Riotto

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

Using the Teukolsky and Sasaki-Nakamura formalisms for the perterbations around a Kerr black hole, we calculate the energy flux of gravitational waves induced by a {\it spinning} particle of mass $\mu$ and spin $S$ moving in circular orbits…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Takahiro Tanaka , Yasushi Mino , Misao Sasaki , Masaru Shibata

We present the solution of a non-linear magnetic-charged black hole with an anisotropic matter field and further extend it to obtain the corresponding rotating black hole solution using the modified Newman-Janis algorithm. The event horizon…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz

Black holes and gravitational waves are consequences of the nonlinear character of the Einstein equations. Yet, the remarkable properties of General Relativity point to the existence of other effects. Here we uncover new nonlinear facets of…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Vitor Cardoso , Jaime Redondo-Yuste , Ulrich Sperhake , Furkan Tuncer

We construct an exact solution in four-dimensional Einstein-Maxwell-dilaton theory, describing multi-centered rotating black holes carrying both electric and magnetic charges, obtained via dimensional reduction from five-dimensional…

High Energy Physics - Theory · Physics 2025-10-01 Shinya Tomizawa , Jun-ichi Sakamoto , Ryotaku Suzuki

We present analytic stationary and axially-symmetric black hole solutions to the semiclassical Einstein equations that are sourced by the trace anomaly. We also find that the same spacetime geometry satisfies the field equations of a subset…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Pedro G. S. Fernandes

We study exact stationary and axisymmetric solutions describing charged rotating black holes localized on a 3-brane in the Randall-Sundrum braneworld. The charges of the black holes are considered to be of two types, the first being an…

High Energy Physics - Theory · Physics 2009-11-11 A. N. Aliev , A. E. Gumrukcuoglu

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

Two general-relativistic hydrodynamical models are considered: a model of self-gravitating static configurations of perfect fluid and a model of steady accretion of fluid onto a black hole. We generalise analytic results obtained for the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bogusz Kinasiewicz , Patryk Mach
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