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We obtain from the first principles a general-relativistic Keplerian rotation law for self-gravitating disks around spinning black holes. This is an extension of a former rotation law that was designed mainly for toroids around spin-less…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Janusz Karkowski , Wojciech Kulczycki , Patryk Mach , Edward Malec , Andrzej Odrzywolek , Michal Pirog

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 extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

In modeling a relativistic disk around a compact object, the self-gravity of the disk is often neglected while it needs to be incorporated for more accurate descriptions in several circumstances. Extending the Komatsu-Eriguchi-Hachisu…

High Energy Astrophysical Phenomena · Physics 2024-10-29 Yoonsoo Kim , Jinho Kim , Hee Il Kim , Hyung Mok Lee

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 consider rotating black hole configurations of self-gravitating maps from spacetime into arbitrary Riemannian manifolds. We first establish the integrability conditions for the Killing fields generating the stationary and the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Heusler

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 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

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

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

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

Fluid discs and tori around black holes are discussed within different approaches and with the emphasis on the role of disc gravity. First reviewed are the prospects of investigating the gravitational field of a black hole--disc system by…

Astrophysics · Physics 2011-07-19 V. Karas , J. -M. Hure , O. Semerak

We perform general relativistic simulations of self-gravitating black hole-disks in which the spin of the black hole is significantly tilted ($45^\circ$ and $90^\circ$) with respect to the angular momentum of the disk and the disk-to-black…

High Energy Astrophysical Phenomena · Physics 2022-11-16 Antonios Tsokaros , Milton Ruiz , Stuart L. Shapiro , Vasileios Paschalidis

We study stationary and axially symmetric black hole-disk systems, assuming a combination of the DD2 and Timmes-Swesty equations of state and a three-parameter family of rotation laws. There exist two branches of solutions that are shown to…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Wojciech Kulczycki , Patryk Mach , Edward Malec

We have constructed general relativistic models of a stationary, axially symmnetric, Keplerian thin disk around a rotating black hole. We computed profiles of a spectral line, emitted in the inner region of the disk. In our models we have…

Astrophysics · Physics 2009-10-22 V. Karas , A. Lanza , D. Vokrouhlicky

Spinning black holes in dynamical Einstein-Chern-Simons gravity are constructed by directly solving the field equations, without resorting to any perturbative expansion. This model is obtained by adding to the Einstein-Hilbert action a…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Terence Delsate , Carlos Herdeiro , Eugen Radu

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

Using on-shell amplitude methods, we derive a rotating black hole solution in a generic theory of Einstein gravity with additional terms cubic in the Riemann tensor. We give an explicit expression for the metric in Einsteinian Cubic Gravity…

High Energy Physics - Theory · Physics 2021-03-25 Daniel J. Burger , William T. Emond , Nathan Moynihan

We consider the axially symmetric coupled system of gravitation, electromagnetism and a dilaton field. Reducing from four to three dimensions, the system is described by gravity coupled to a non-linear $\sigma$-model. We find the target…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Bjørn Jensen , Ulf Lindström

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
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