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A system of two gravitating bodies floating around a restricted region of strong gravitational field is investigated. We consider two concentric spherically symmetric timelike shells spatially constrained by a perfectly reflecting inner and…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Takafumi Kokubu

We study strong-gravity effects on modulation of radiation emerging from accreting compact objects as a possible mechanism for flux modulation in QPOs. We construct a toy model of an oscillating torus in the slender approximation assuming…

Astrophysics · Physics 2007-05-23 Michal Bursa

We study the stability of static spherically symmetric charged black holes under tensor type perturbations in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We derive the master equation for tensor…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Tomohiro Takahashi

We perform fully relativistic GRMHD simulations of magnetized, self-gravitating black hole-disk (BHD) systems in which the black hole spin is misaligned with the disk angular momentum. Massive disks (disk to BH mass ratios of $16-28\%$)…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Milton Ruiz , Antonios Tsokaros , Stuart L. Shapiro

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds.…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Lars Andersson , Thomas Bäckdahl , Pieter Blue

Using the general solution to the Einstein equations on intersecting null surfaces developed by Hayward, we investigate the non-linear instability of the Cauchy horizon inside a realistic black hole. Making a minimal assumption about the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Patrick R Brady , Chris M Chambers

We study the static black holes in the large $D$ dimensions in the Gauss-Bonnet gravity with a cosmological constant, coupled to the Maxewell theory. After integrating the equation of motion with respect to the radial direction, we obtain…

High Energy Physics - Theory · Physics 2017-05-24 Bin Chen , Peng-Cheng Li

This paper presents elements about the radial orbit instability, which occurs in spherical self-gravitating systems with a strong anisotropy in the radial velocity direction. It contains an overview on the history of radial orbit…

Astrophysics of Galaxies · Physics 2016-08-03 Lionel Maréchal , Jérôme Perez

In this review, we retrace the recent progress in the anti-de Sitter (AdS) instability problem. By instability we mean that for large classes of initial data, any perturbation of AdS space-time, however small, leads to the formation of a…

General Relativity and Quantum Cosmology · Physics 2017-09-19 Grégoire Martinon

Gravitational waves emitted by distorted black holes---such as those arising from the coalescence of two neutron stars or black holes---carry not only information about the corresponding spacetime but also about the underlying theory of…

General Relativity and Quantum Cosmology · Physics 2020-11-05 Jose Luis Blázquez-Salcedo , Caio F. B. Macedo , Vitor Cardoso , Valeria Ferrari , Leonardo Gualtieri , Fech Scen Khoo , Jutta Kunz , Paolo Pani

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 have performed general relativistic hydrodynamics (GRHD) simulations of 2D discs orbiting around spinning black holes and prone to the Rossby Wave Instability (RWI). We show that the RWI can develop at any location in the disc and for…

High Energy Astrophysical Phenomena · Physics 2018-09-19 F. Casse , P. Varniere

We present a unified thermodynamical description of the configurations consisting on self-gravitating radiation with or without a black hole. We compute the thermal fluctuations and evaluate where will they induce a transition from…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Renaud Parentani , Joseph Katz , Isao Okamoto

The linear stability of a shocked isothermal accretion flow onto a black hole is investigated in the inviscid limit. The outer shock solution, which was previously found to be stable with respect to axisymmetric perturbations, is, however,…

Astrophysics · Physics 2009-11-10 Wei-Min Gu , Thierry Foglizzo

Pseudo-Newtonian gravitational potential introduced in spherically symmetric black-hole spacetimes with a repulsive cosmological constant is tested for equilibrium toroidal configurations of barotropic perfect fluid orbiting the black…

General Relativity and Quantum Cosmology · Physics 2010-02-04 Z. Stuchlik , P. Slany , J. Kovar

This is the first of series of papers in which we investigate stability of the spherically symmetric space-time with de Sitter center. Geometry, asymptotically Schwarzschild for large $r$ and asymptotically de Sitter as $r\to 0$, describes…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Irina Dymnikova , Evgeny Galaktionov

We have computed line profiles from self-gravitating toroids around black holes. The specific angular momentum of the toroids is assumed to be constant in space. The images of the toroids show peculiar feature in the rear side of the black…

Astrophysics · Physics 2009-10-30 Fumihiko Usui , Shogo Nishida , Yoshiharu Eriguchi

Pulsars orbiting around the black hole at our galactic center provide us a unique testing site for gravity. In this work, we propose an approach to probe the gravity around the black hole introducing two phenomenological parameters which…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Kengo Iwata , Chul-Moon Yoo

Massive bosonic fields in the background of a Kerr black hole can either trigger superradiant instabilities (black-hole bombs) or form equilibrium configurations corresponding to pure bound states, known as stationary scalar clouds. Here,…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Marzena Ciszak , Francesco Marino

Recently the non-local gravity theory has come out to be a good candidate for an effective field theory of quantum gravity and also it can provide rich phenomenology to understand late-time accelerating expansion of the universe. For any…

General Relativity and Quantum Cosmology · Physics 2019-08-23 Utkarsh Kumar , Sukanta Panda , Avani Patel