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This note surveys how energy generation and strengthening has been used to prove Morawetz estimates for various field equations in Minkowski space, the exterior of the Schwarzschild spacetime, and the exterior of the Kerr spacetime. It…

Analysis of PDEs · Mathematics 2013-09-04 P. Blue

In recent years higher-dimensional black holes have attracted much interest because of various developments in gravity and high energy physics. But whereas higher-dimensional charged static (Tangherlini) and uncharged rotating (Myers-Perry)…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida

We construct a novel exact solution of the Einstein-scalar-Maxwell equations describing a dynamical black hole immersed in an external, time-dependent electromagnetic field. Motivated by the need for more realistic analytical black hole…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Jibril Ben Achour , Adolfo Cisterna , Amaro Díaz , Keanu Müller

We study the quasi-normal modes of the charged scalar perturbations in the background of the Einstein-Maxwell-aether black hole through three methods (WKB method, continued fraction method, generalized eigenvalue method). Then we propose…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Wei Xiong , Peng Liu , Cheng-Yong Zhang , Chao Niu

We investigate rotating black holes obtained by applying a Kaluza-Klein boost to the Kerr-Taub-NUT spacetime and study the resulting four-dimensional geometry and thermodynamics after dimensional reduction. The boost along the compact…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Hasan Oguz , Goksel Daylan Esmer

Some active galactic nuclei, microquasars, and gamma ray bursts may be powered by the electromagnetic braking of a rapidly rotating black hole. We investigate this possibility via axisymmetric numerical simulations of a black hole…

Astrophysics · Physics 2008-11-26 Jonathan C. McKinney , Charles F. Gammie

We investigate the critical behaviour of charged and rotating AdS black holes in d spacetime dimensions, including effects from non-linear electrodynamics via the Born-Infeld action, in an extended phase space in which the cosmological…

High Energy Physics - Theory · Physics 2015-06-11 Sharmila Gunasekaran , David Kubiznak , Robert B. Mann

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Jörg Frauendiener , Chris Stevens

We examine the efficiency of gravitational bremsstrahlung production in the process of head-on collision of two boosted Schwarzschild black holes. We constructed initial data for the characteristic initial value problem in Robinson-Trautman…

General Relativity and Quantum Cosmology · Physics 2009-02-11 R. F. Aranha , H. P. de Oliveira , I. Damião Soares , E. V. Tonini

We obtain explicit separable solutions of the wave equation of massless minimally coupled scalar fields in the subtracted geometry of four-dimensional rotating and Melvin (magnetised) four-charge black holes of the STU model, a consistent…

High Energy Physics - Theory · Physics 2015-06-18 M. Cvetic , G. W. Gibbons , Z. H. Saleem

We have developed a numerical code to study the evolution of distorted, rotating black holes. This code is used to evolve a new family of black hole initial data sets corresponding to distorted ``Kerr'' holes with a wide range of rotation…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Steven R. Brandt , Edward Seidel

We propose a novel ansatz, where the full black hole geometry is written as a linear in mass perturbation of the associated extremal black hole base. Contrary to its "standard" version, the corresponding "extremal Kerr-Schild form" is no…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Mokhtar Hassaine , David Kubiznak , Aravindhan Srinivasan

We exhibit the first analogue model of a rotating black hole constructed in the framework of nonlinear electrodynamics. The background electromagnetic field is assumed to be algebraically special and adapted to a geodesic shear-free…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Érico Goulart , Eduardo Bittencourt

We show that the general solution of Chong, Cvetic, Lu and Pope for nonextremal rotating charged black holes in five-dimensional minimal gauged supergravity, or equivalently in the Einstein-Maxwell-Chern-Simons theory with a negative…

High Energy Physics - Theory · Physics 2009-02-20 Alikram N. Aliev , Dilek K. Ciftci

The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Zhongyang Zhang , Emanuele Berti , Vitor Cardoso

Despite their potential importance for understanding astrophysical jets, physically realistic exact solutions for magnetospheres around Kerr black holes have not been found, even in the force-free approximation. Instead approximate…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Gianluca Grignani , Troels Harmark , Marta Orselli

In this paper, we focus upon the behaviour of spacetime of charged black holes described by Eddington-inspired Born-Infeld (EiBI) gravity. With a static and spherically symmetric metric, we solve the ensuing field equations obtained from…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Muhammed Shafeeque , Malay K. Nandy

Combined influence of rotation of a black hole and ambient magnetic fields creates conditions for powerful astrophysical processes of accretion and outflow of matter which are observed in many systems across the range of masses; from…

High Energy Astrophysical Phenomena · Physics 2023-07-26 Ondrej Kopacek , Vladimir Karas

We perform full 3D numerical simulations of compact objects, such as black holes or neutron stars, boosted through an ambient force-free plasma that posses a uniform magnetization. We study jet formation and energy extraction from the…

High Energy Astrophysical Phenomena · Physics 2019-09-25 Ramiro Cayuso , Federico Carrasco , Barbara Sbarato , Oscar Reula

Regular rotating black holes are usually described by a metric of the Kerr-Schild form with a particular mass function that is chosen to avoid the ring singularity of the Kerr metric and which approaches the Kerr metric at the asymptotic…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Marcos L. W. Basso , Vilson T. Zanchin
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