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In this paper, we have studied the variation of the chaos bound in two regions of the torus-like black hole, i.e., the region close to the black hole horizon and the region at a certain distance from the black hole horizon. The angular…

General Relativity and Quantum Cosmology · Physics 2022-10-17 Rui Yin , Jing Liang , Benrong Mu

This paper is a first step toward understanding the effect of toroidal geometry on the rigorous stability theory of plasmas. We consider a collisionless plasma inside a torus, modeled by the relativistic Vlasov-Maxwell system. The surface…

Analysis of PDEs · Mathematics 2015-06-16 Toan T. Nguyen , Walter A. Strauss

A general relativistic, stationary and axisymmetric black hole in a four-dimensional asymptotically-flat spacetime is fully determined by its mass, angular momentum and electric charge. The expectation that astrophysically relevant black…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Gabriele Bozzola , Vasileios Paschalidis

We report on the first phase of our study of slightly rotating accretion flows onto black holes. We consider inviscid accretion flows with a spherically symmetric density distribution at the outer boundary, but with spherical symmetry…

Astrophysics · Physics 2009-11-07 D. Proga , M. C. Begelman

In the context of gauge/gravity duality, we find a new black hole instability in asymptotically AdS spaces. On the field theory side, this instability is induced by a magnetic field in the vacuum, in contrast to previous instabilities which…

High Energy Physics - Theory · Physics 2012-05-28 Martin Ammon , Johanna Erdmenger , Patrick Kerner , Migael Strydom

Analytical studies and numerical simulations of time dependent axially symmetric flows onto black holes have shown that it is possible to produce stationary shock waves with a stable position both for ideal inviscid and for moderately…

Astrophysics · Physics 2019-08-17 Diego Molteni , Gabor Toth , Oleg A. Kuznetsov

Numerical-relativity simulation is performed for rapidly spinning black holes (BHs) in a higher-dimensional spacetime of special symmetries for the dimensionality $6 \leq d \leq 8$. We find that higher-dimensional BHs, spinning rapidly…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Masaru Shibata , Hirotaka Yoshino

Due to quantum fluctuations, a black hole of mass $M$ represents an average over an ensemble of black hole geometries with angular momentum. This observation is apparently at odds with the fact that the curvature singularity inside a…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Eugenio Bianchi , Hal M. Haggard

We study the stability of odd-dimensional rotating black holes with equal angular momenta by performing an expansion in the inverse of the number of dimensions D. Universality at large $D$ allows us to calculate analytically the complex…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

We present results from a numerical study of rotating black hole formation in 3-dimensional asymptotically anti-de Sitter (AdS) spacetime, focusing on the structure of the black hole interior. While black holes in $AdS_3$ are of theoretical…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Alex Pandya , Frans Pretorius

Accretion flows around black holes generally result in mass-outflows that exhibit irregular behavior quite often. Using 2D time-dependent hydrodynamical calculations, we show that the mass-outflow is unstable in the cases of thick accretion…

High Energy Astrophysical Phenomena · Physics 2015-08-19 Toru Okuda , Santabrata Das

The physical properties of an axisymmetric black-hole-ring system are studied analytically within the framework of general relativity to second order in the dimensionless mass ratio $\mu\equiv m/M$. In particular, we analyze the asymptotic…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shahar Hod

We study black holes with linear equation of state within the framework of asymptotically safe gravity. This study extends previous work on gravitational collapse in asymptotically safe gravity (that has been done for a dust fluid) by…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Ramin Hassannejad , Fatimah Shojai , Kazuharu Bamba

We investigate the dynamical instability of a self-gravitating thermal system in the quantum regime, where Fermi degeneracy pressure becomes significant. Using a truncated Fermi-Dirac distribution and solving the Tolman-Oppenheimer-Volkoff…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Wei-Xiang Feng , Hai-Bo Yu , Yi-Ming Zhong

Stationary black holes in 5-dimensional Einstein-Maxwell-Chern-Simons theory possess surprising properties. When considering the Chern-Simons coefficient $\lambda$ as a parameter, two critical values of $\lambda$ appear: the supergravity…

High Energy Physics - Theory · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida

The construction of equilibrium models of accretion disks around compact objects has become a highly relevant topic in the recent times, thanks to the current understanding that indicates a direct relationship between these objects with the…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Sergio Gimeno-Soler , Sayantani Lahiri , Claus Lämmerzahl

Using experimental longitudinal and transverse velocities data for very high Reynolds number turbulence, we study both anisotropy and asymmetry of turbulence. These both seem to be related to small scale turbulent structures, and to…

Atmospheric and Oceanic Physics · Physics 2007-05-23 S. I. Vainshtien

We explore the classical stability of topological black holes in d-dimensional anti-de Sitter spacetime, where the horizon is an Einstein manifold of negative curvature. According to the gauge invariant formalism of Ishibashi and Kodama,…

High Energy Physics - Theory · Physics 2008-11-26 Danny Birmingham , Susan Mokhtari

We investigate the stability of $f(R)$ (Schwarzschild) black hole obtained from the $f(R)$ gravity. It is difficult to carry out the perturbation analysis around the black hole because the linearized Einstein equation is fourth order in…

General Relativity and Quantum Cosmology · Physics 2011-06-13 Yun Soo Myung , Taeyoon Moon , Edwin J. Son

Using mathematical formalism borrowed from dynamical systems theory, a complete analytical investigation of the critical behaviour of the stationary flow configuration for the low angular momentum axisymmetric black hole accretion provides…

High Energy Astrophysical Phenomena · Physics 2015-05-20 S. Nag , S. Acharya , A. K. Ray , Tapas K. Das