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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

Charged rotating black holes of Einstein-Maxwell-Chern-Simons theory in odd dimensions, $D \ge 5$, may possess a negative horizon mass, while their total mass is positive. This surprising feature is related to the existence of…

High Energy Physics - Theory · Physics 2008-11-26 Jutta Kunz , Francisco Navarro-Lerida

We discuss the conditions for the existence of extended matter configurations orbiting in the ergoregion or close to the outer ergosurface of the Kerr black hole ("dragged" configurations). The corotating tori under consideration are…

General Relativity and Quantum Cosmology · Physics 2022-04-11 D. Pugliese , Z. Stuchlık

We model the motion of a small compact object on a nearly circular orbit around a spinning supermassive black hole, which is also interacting with a thin equatorial accretion-disk surrounding the latter, through tools from self-force and…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Abhishek Hegade K. R. , Charles F. Gammie , Nicolás Yunes

We analyze the relativistic dynamical properties of Keplerian and non-Keplerian circular orbits in a general axisymmetric and stationary gravitational field, and discuss the implications for the stability of co- and counter-rotating…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Barrabes , B. Boisseau , W. Israel

Recent general-relativistic extensions of Newtonian rotation laws for self-gravitating stationary fluids allow one to rederive, in the first post-Newtonian approximation, the well known geometric dragging of frames, and two new weak-field…

General Relativity and Quantum Cosmology · Physics 2015-10-22 Patryk Mach , Edward Malec , Michal Pirog

We obtain rotation laws for axially symmetric, selfgravitating and stationary fluids around spinning black holes. They reduce --- in the Newtonian limit --- to monomial rotation curves. For spinless black hole, one obtains in the first…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Wojciech Kulczycki , Edward Malec

We analyze stationary self-gravitating disks around spinning black holes that satisfy the recently found general-relativistic Keplerian rotation law. There is a numerical evidence that the angular velocity, circumferential radius and…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Wojciech Kulczycki , Patryk Mach , Edward Malec

We present arguments for the existence of charged, rotating black holes with equal-magnitude angular momenta in an odd number of dimensions $D\geq 5$. These solutions posses a regular horizon of spherical topology and approach…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jutta Kunz , Francisco Navarro-Lerida , Eugen Radu

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

We investigate stationary, self-gravitating, magnetised disks (or tori) around black holes. The models are obtained by numerically solving the coupled system of the Einstein equations and the equations of ideal general-relativistic…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Patryk Mach , Sergio Gimeno-Soler , Jose A. Font , Andrzej Odrzywolek , Michal Pirog

We consider the quasi-black hole limit of a stationary body when its boundary approaches its own gravitational radius, i.e., its quasi-horizon. It is shown that there exists a perfect correspondence between the different mass contributions…

General Relativity and Quantum Cosmology · Physics 2009-09-02 José P. S. Lemos , Oleg B. Zaslavskii

We evaluate general-relativistic effects in motion of stationary accretion disks around a Schwarzschild black hole, assuming the first post-Newtonian (1PN) approximation. There arises an integrability condition, that leads to the emergence…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Piotr Jaranowski , Patryk Mach , Edward Malec , Michal Pirog

The dragging of inertial frames by an orbiting object implies that the horizon angular velocity $\Omega^{\text{BH-ring}}_{\text{H}}$ of a central black hole in a composed black-hole-orbiting-ring system is no longer related to its…

General Relativity and Quantum Cosmology · Physics 2025-02-21 Shahar Hod

A well-established phenomenon in general relativity is the dragging of inertial frames by a spinning object. In particular, due to the dragging of inertial frames by a ring orbiting a central black hole, the angular-velocity of the…

General Relativity and Quantum Cosmology · Physics 2016-01-26 Shahar Hod

The stability properties of rotating relativistic stars against prompt gravitational collapse to a black hole are rather well understood for uniformly rotating models. This is not the case for differentially rotating neutron stars, which…

General Relativity and Quantum Cosmology · Physics 2018-01-12 Lukas R. Weih , Elias R. Most , Luciano Rezzolla

We consider agglomerates of misaligned tori orbiting a supermassive black hole. The aggregate of tilted tori is modeled as a single orbiting configuration by introducing a leading function governing the distribution of toroids (and maximum…

High Energy Astrophysical Phenomena · Physics 2022-03-29 D. Pugliese , Z. Stuchlık

Scattering black holes spin up and gain mass through the re-absorption of orbital angular momentum and energy radiated in gravitational waves during their encounter. In this work, we perform a series of numerical relativity simulations to…

General Relativity and Quantum Cosmology · Physics 2026-04-23 Healey Kogan , Frederick C. L. Pardoe , Helvi Witek

We investigate stationary models of magnetized, self-gravitating disks around black holes. The disks are assumed to rotate according to a recently introduced Keplerian rotation law. We consider different prescriptions of the toroidal…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Wojciech Dyba , Patryk Mach , Mikolaj Pietrzynski

Accretion disks around very compact objects such as very massive Black hole can grow according to thick toroidal models. We face the problem of defining how does change the thickness of a toroidal accretion disk spinning around a…

High Energy Astrophysical Phenomena · Physics 2015-06-12 D. Pugliese , G. Montani
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