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In this paper we solve the hydrodynamical equations of optically thin, steady state accretion disks around Kerr black holes. Here, fully general relativistic equations are used. We use a new method to calculate the shear tensor in the LNRF…

Astrophysics of Galaxies · Physics 2012-07-30 Mahboobe Moeen Moghaddas , Jamshid Ghanbari , Ahmad Ghodsi

We study gravitational perturbations around the near horizon geometry of the (near) extreme Kerr black hole. By considering a consistent truncation for the metric fluctuations, we obtain a solution to the linearized Einstein equations. The…

High Energy Physics - Theory · Physics 2020-06-17 Alejandra Castro , Victor Godet

Rapidly rotating black hole solutions in theories beyond general relativity play a key role in experimental gravity, as they allow us to compute observables in extreme spacetimes that deviate from the predictions of general relativity. Such…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Robert McNees , Leo C. Stein , Nicolás Yunes

Analytical and numerical results on equilibrium configurations of rotating fluid bodies within Einstein's theory of gravitation are reviewed. Particular emphasis is placed on continuous parametric transitions to black holes. In this…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Reinhard Meinel

We study the accretion of relativistic Vlasov gas onto a Kerr black hole, regarding the particles as distributed throughout all the space, other than just in the equatorial plane. We solve the relativistic Liouville equation in the full…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Ping Li , Yong-Qiang Liu , Xiang-Hua Zhai

Black holes described by the Kerr metric can have a theoretical maximum dimensionless spin parameter of $a_\bullet = 1$, but several effects may limit the maximum spin parameter in astrophysical systems. We perform general relativistic…

High Energy Astrophysical Phenomena · Physics 2026-04-23 Tegan A. Thomas , Angelo Ricarte , Cora Prather , Hyerin Cho

An exact rotating anisotropic fluid solution and a family of exact rotating anisotropic fluid solutions are presented which satisfy all energy conditions for certain values of their parameters. The components of the Ricci tensor the…

General Relativity and Quantum Cosmology · Physics 2016-02-15 E. Kyriakopoulos

In this thesis, I study hydrodynamical models of slim accretion disks --- advective, optically thick disks which generalize the standard models of radiatively efficient thin disks to all accretion rates. I start with a general introduction…

High Energy Astrophysical Phenomena · Physics 2011-08-02 A. Sadowski

We examine here the inner region accretion flows onto black holes. A variety of models are presented. We also discuss viscosity mechanisms under a variety of circumstances, for standard accretion disks onto galactic black holes and…

Astrophysics · Physics 2007-05-23 Menas Kafatos , Prasad Subramanian

In this article, we conduct a sequential study of possible observable images of black hole simulators described by two recently obtained rotating geometries in Einstein gravity, minimally coupled to a scalar field. One of them, "Kerr-like"…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Igor Bogush , Dmitri Gal'tsov , Galin Gyulchev , Kirill Kobialko , Petya Nedkova , Tsvetan Vetsov

By solving a nonlinear Klein-Gordon equation in Kerr geometry, we uncover new phenomena and key characteristics of quantized vortices in quantum fluids near a Kerr black hole. The formation of these vortices induces rotational or turbulent…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Shilong Jin , Xiaofei Zhao , Yong Zhang , Chi Xiong

We numerically implement a quasi-spherical approximation scheme for computing gravitational waveforms for coalescing black holes, testing it against angular momentum by applying it to Kerr black holes. As error measures, we take the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hisa-aki Shinkai , Sean A. Hayward

An ultrarelativistic relativistic study of axisymmetric Bondi--Hoyle accretion onto a moving Kerr black hole is presented. The equations of general relativistic hydrodynamics are solved using high resolution shock capturing methods. In this…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Andrew J. Penner

The near-horizon geometries of the extremal Kerr black hole and certain generalizations thereof are considered. Their isometry groups are all given by SL(2,R) x U(1). The usual boundary conditions of the Kerr/CFT correspondence enhance the…

High Energy Physics - Theory · Physics 2010-04-22 Jorgen Rasmussen

We present a novel approach for the construction of interior solutions for the Kerr metric, extending J. Ovalle's foundational work through ellipsoidal coordinate transformations. By deriving a physically plausible interior solution that…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Yu-Ching Chou

We derive an exact solution representing a Bondi-type stationary accretion of a kinetic (Vlasov) gas onto the Kerr black hole. The solution is exact in the sense that relevant physical quantities, such as the particle current density or the…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Patryk Mach , Mehrab Momennia , Olivier Sarbach

We consider thin accretion disks in the field of a class of rotating regular black holes. For this purpose, we obtain the radius of the innermost stable circular orbit, $r_{ISCO}$ and efficiency of accretion disk in converting matter into…

General Relativity and Quantum Cosmology · Physics 2023-07-28 Kuantay Boshkayev , Talgar Konysbayev , Yergali Kurmanov , Orlando Luongo , Marco Muccino , Aliya Taukenova , Ainur Urazalina

Equilibrium configurations of electrically charged perfect fluid surrounding a central rotating black hole endowed with a test electric charge and embedded in a large-scale asymptotically uniform magnetic field are presented. Following our…

High Energy Astrophysical Phenomena · Physics 2018-06-20 A. Trova , K. Schroven , E. Hackmann , V. Karas , J. Kovar , P. Slany

Shock waves in high-speed fluid dynamics produce near-discontinuities in the fluid momentum, density, and energy. Most contemporary works use artificial viscosity or limiters as numerical mitigation of the Gibbs--Runge oscillations that…

Computational Engineering, Finance, and Science · Computer Science 2026-04-09 Anand Radhakrishnan , Benjamin Wilfong , Spencer H. Bryngelson , Florian Schäfer

Current state-of-the-art simulations of accretion flows onto black holes require a significant level of numerical sophistication, in order to allow the three-dimensional modelling of relativistic magnetised plasma in a regime of strong…

High Energy Astrophysical Phenomena · Physics 2018-10-09 Matteo Bugli