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The current early stage in the investigation of the stability of the Kerr metric is characterized by the study of appropriate model problems. Particularly interesting is the problem of the stability of the solutions of the Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2012-11-20 Horst Reinhard Beyer , Miguel Alcubierre , Miguel Megevand , Juan Carlos Degollado

We report new results which establish that the accurate 3-dimensional numerical simulation of generic single-black-hole spacetimes has been achieved by characteristic evolution with unlimited long term stability. Our results cover a…

This paper investigates the dynamic behavior of static, spherically symmetric black holes within the Einstein-Bumblebee gravity model with a cosmological constant, focusing on scalar field perturbations. Through separation of the angular…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Hao Hu , Guoxiong Zhu

We establish the full global non-linear stability of the Kerr-de Sitter family of black holes, as solutions of the initial value problem for the Einstein vacuum equations with positive cosmological constant, for small angular momenta, and…

Differential Geometry · Mathematics 2020-05-28 Peter Hintz , András Vasy

We give a thorough description of the shape of rotating axisymmetric stable black-hole (apparent) horizons applicable in dynamical or stationary regimes. It is found that rotation manifests in the widening of their central regions…

General Relativity and Quantum Cosmology · Physics 2013-11-21 Martin Reiris , Maria Eugenia Gabach Clement

We study the stability of charged rotating black holes in a consistent truncation of Type $IIB$ Supergravity on $AdS_5 \times S^5$ that degenerate to extremal black holes with zero entropy. These black holes have scaling properties between…

High Energy Physics - Theory · Physics 2015-06-12 Micha Berkooz , Anna Frishman , Amir Zait

No Kerr-like exact solution has yet been found in Chern-Simons modified gravity. Intrigued by this absence, we study stationary and axisymmetric metrics that could represent the exterior field of spinning black holes. For the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Grumiller , Nicolas Yunes

We study gravitational perturbations of electrically charged black holes in (3+1)-dimensional Einstein-Born-Infeld gravity with a positive cosmological constant. For the axial perturbations, we obtain a set of decoupled Schrodinger-type…

High Energy Physics - Theory · Physics 2020-08-24 Chong Oh Lee , Jin Young Kim , Mu-In Park

We investigate the stability of higher dimensional rotating black holes against scalar perturbations. In particular, we make a thorough numerical and analytical analysis of six-dimensional black holes, not only in the low rotation regime…

High Energy Physics - Theory · Physics 2009-11-10 Vitor Cardoso , George Siopsis , Shijun Yoshida

We show that a stationary solution of the Einstein-Maxwell equations which is close to a non-degenerate Reissner-Nordstr\"om-de Sitter solution is in fact equal to a slowly rotating Kerr-Newman-de Sitter solution. The proof uses the…

General Relativity and Quantum Cosmology · Physics 2020-05-28 Peter Hintz

After a brief introduction to the black hole stability problem, we outline our recent proof of the linear stability of the non-extreme Kerr geometry.

Mathematical Physics · Physics 2017-10-03 Felix Finster , Joel Smoller

We present a new technique for time-domain numerical evolution of the scalar field generated by a pointlike scalar charge orbiting a black hole. Time-domain evolution offers an efficient way for calculating black hole perturbations,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leor Barack , Darren A Golbourn

Significant advances in numerical simulations of black-hole binaries have recently been achieved using the puncture method. We examine how and why this method works by evolving a single black hole. The coordinate singularity and hence the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Hannam , Sascha Husa , Denis Pollney , Bernd Bruegmann , Niall O'Murchadha

Recently, it is reported that thermal fluctuations, which are interpreted as quantum effects, modify the black holes entropy by an exponential term. We now find the effect of such modification on the black hole mass and other thermodynamics…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Behnam Pourhassan

In this work, the solution of the Einstein equations for a slowly rotating black hole with Born-Infeld charge is obtained. Geometrical properties and horizons of this solution are analyzed. The conditions when the ADM mass (as in the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Diego Julio Cirilo-Lombardo

We present results from a new code for binary black hole evolutions using the moving-puncture approach, implementing finite differences in generalised coordinates, and allowing the spacetime to be covered with multiple communicating…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Denis Pollney , Christian Reisswig , Erik Schnetter , Nils Dorband , Peter Diener

We present numerical evolutions of three equal-mass black holes using the moving puncture approach. We calculate puncture initial data for three black holes solving the constraint equations by means of a high-order multigrid elliptic…

General Relativity and Quantum Cosmology · Physics 2010-12-21 Pablo Galaviz , Bernd Bruegmann , Zhoujian Cao

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

A massive spin-2 field can grow unstably around a black hole, giving rise to a potential probe of the existence of such fields. In this work, we use time-domain evolutions to study such instabilities. Considering the linear regime by…

General Relativity and Quantum Cosmology · Physics 2023-12-19 William E. East , Nils Siemonsen

In this work the evolution of two fields of matter in planar symmetric black holes D-dimensional with symmetry of Lifshitz whose dynamic exponent is $z$ were analyzed. The fields investigated were a scalar field non-minimal coupled to the…

General Relativity and Quantum Cosmology · Physics 2021-05-14 João Ider