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In this Letter we investigate uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies with a toroidal shape. The corresponding field equations are solved by means of a multi-domain spectral method, which yields highly…

General Relativity and Quantum Cosmology · Physics 2010-12-23 M. Ansorg , A. Kleinwächter , R. Meinel

We study two types of axially symmetric, stationary and asymptotically flat spacetimes using highly accurate numerical methods. The one type contains a black hole surrounded by a perfect fluid ring and the other a rigidly rotating disc of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg , David Petroff

We describe the most general nature of accretion and wind flows around a compact object and emphasize on the properties which are special to black hole accretion. The angular momentum distribution in the most general solution is far from…

Astrophysics · Physics 2007-05-23 Sandip K. Chakrabarti

We investigate stationary slim accretion disks around Kerr black holes. We construct a new numerical method based on the relaxation technique. We systematically cover the whole parameter space relevant to stellar mass X-ray binaries. We…

High Energy Astrophysical Phenomena · Physics 2009-10-26 Aleksander Sadowski

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

Stellar-mass black holes offer what is perhaps the best scenario to test theories of gravity in the strong-field regime. In particular, f(R) theories, which have been widely discuss in a cosmological context, can be constrained through…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-13 Daniela Pérez , Gustavo E. Romero , Santiago E. Perez Bergliaffa

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

Stationary axisymmetric systems of two extreme Kerr sources separated by a massless strut, which arise as subfamilies of the well-known Kinnersley-Chitre solution, are studied. We present explicit analytical formulas for the individual…

General Relativity and Quantum Cosmology · Physics 2015-05-28 V. S. Manko , E. Ruiz , M. B. Sadovnikova

We construct general-relativistic kinetic models of stationary finite accretion disks in the Kerr spacetime. Our analysis generalizes a previous model of razor-thin accretion disks of collisionless gas in the Kerr spacetime, extending to…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Ghafran Khan , Patryk Mach

Recent studies have focused on how spinning black holes (BHs) within a binary system containing a strongly magnetized neutron star, then immersed in external magnetic fields, can acquire charge through mechanisms like the Wald process and…

High Energy Astrophysical Phenomena · Physics 2025-02-04 Audrey Trova , Eva Hackmann

The interplay between black holes and fundamental fields has attracted much attention over the years from both physicists and mathematicians. In this paper we study {\it analytically} a physical system which is composed of massive scalar…

General Relativity and Quantum Cosmology · Physics 2016-07-06 Shahar Hod

I discuss the stability of accretion disks when the black hole is considered to be rotating. I show, how the fluid properties get changed for different choices of angular momentum of black holes. I treat the problem in pseudo-Newtonian…

Astrophysics · Physics 2016-11-09 Banibrata Mukhopadhyay

We discuss the solution of accretion disk when the black hole is chosen to be rotating. We study, how the fluid properties get affected for different rotation parameters of the black hole. We know that no cosmic object is static in…

Astrophysics · Physics 2009-11-07 Banibrata Mukhopadhyay

Several examples of thin, Keplerian, sub-parsec megamaser disks have been discovered in the nuclei of active galaxies and used to precisely determine the mass of their host black holes. We show that there is an empirical linear correlation…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Mark Wardle , Farhad Yusef-Zadeh

We present the first exact and analytical solution in General Relativity describing an equilibrium configuration for two stationary black holes. The metric models two collinear extremal Kerr black holes immersed in an external and…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Marco Astorino , Matilde Torresan

We investigate the global properties of the radiation emitted by the accretion disk around Kerr black holes. Using the Kerr blackbody (KERRBB) numerical model, we build an analytic approximation of the disk emission features focusing on the…

High Energy Astrophysical Phenomena · Physics 2018-05-02 S. Campitiello , G. Ghisellini , T. Sbarrato , G. Calderone

We study the effect of rotation on the spectrum of bound states for dust cores that source (quantum) black holes found in Eur. Phys. J. C 82 (2022) 10. The dust ball is assumed to spin rigidly with sufficiently slow angular velocity that…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Roberto Casadio , Luca Tabarroni

We present the results of our studies on accretion disks in the proximity of astrophysical black holes. These disks can be of varying degrees of opacity, geometrical shapes, sizes, and volumes. The central compact object is a Schwarzschild…

High Energy Astrophysical Phenomena · Physics 2023-02-27 Leela Elpida Koutsantoniou

This article outlines the search for an exact general relativistic description of the exterior (vacuum) gravitational field of a rotating spheroidal black hole surrounded by a realistic axially symmetric disc of matter. The problem of…

General Relativity and Quantum Cosmology · Physics 2016-11-09 O. Semerak

The Rayleigh criterion is used to study the stability of circular orbits of particles moving around static black holes surrounded by different axially symmetric structures with reflection symmetry, like disks, rings and halos. We consider…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Patricio. S. Letelier