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The tachyonic instability of the Kerr black holes is analyzed in the Einstein-scalar theory with the quadratic scalar couplings to two topological terms which are parity-even Gauss-Bonnet and parity-odd Chern-Simons terms. For positive…

General Relativity and Quantum Cosmology · Physics 2021-07-28 De-Cheng Zou , Yun Soo Myung

We examine solutions to semilinear wave equations on black hole backgrounds and give a proof of an analog of the Strauss conjecture on the Schwarzschild and Kerr, with small angular momentum, black hole backgrounds. The key estimates are a…

Analysis of PDEs · Mathematics 2014-03-14 Hans Lindblad , Jason Metcalfe , Christopher D. Sogge , Mihai Tohaneanu , Chengbo Wang

We extend the Wald solution to a black hole that is also boosted. More specifically, we derive analytic solutions for the Maxwell equations for a rotating black hole moving at constant speed in an asymptotically uniform magnetic test field.…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Viktoriya S. Morozova , Luciano Rezzolla , Bobomurat J. Ahmedov

We construct black hole solutions with spin-induced scalarization in a class of models where a scalar field is quadratically coupled to the topological Gauss-Bonnet term. Starting from the tachyonically unstable Kerr solutions, we obtain…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Emanuele Berti , Lucas G. Collodel , Burkhard Kleihaus , Jutta Kunz

The idea of extra dimensions provides a promising approach to overcome various problems in modern physics. This includes theoretical as well as phenomenological aspects, such as the unification of the fundamental interactions or the…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Michael Kalisch

We obtain and study static, spherically symmetric solutions for the Einstein - generalized Maxwell field system in 2n dimensions, with possible inclusion of a massless scalar field. The generalization preserves the conformal invariance of…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Kirill A. Bronnikov , Julio Cesar Fabris

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 consider the Maxwell field in the exterior of a Kerr black hole. For this system, we propose a geometric construction of generalized Klein-Gordon equation called Fackerell-Ipser equation. Our model is based on conformal Yano-Kiling…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Jacek Jezierski , Tomasz Smołka

The gravitational field around an astrophysical black hole (BH) is thought to be described by the Kerr spacetime, which is a solution of the Einstein equation. Signatures of binary black hole (BBH) coalescence in gravitational waves (GW)…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Debtroy Das , Swarnim Shashank , Cosimo Bambi

We apply the classical double copy procedure to a class of regular, non-singular black hole solutions. We give several examples, paying particular attention to a string-theory-corrected black hole solution emerging from T-duality.…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Damien A. Easson , Cynthia Keeler , Tucker Manton

We reconsider space-time singularities in classical Einsteinian general relativity: with the help of several new co-ordinate systems we show that the Schwarzschild solution can be extended beyond the curvature singularity at r=0. The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 K. Peeters , C. Schweigert , J. W. van Holten

To what extent are all astrophysical, dark, compact objects both black holes (BHs) and described by the Kerr geometry? We embark on the exercise of defying the universality of this remarkable idea, often called the "Kerr hypothesis". After…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Carlos A. R. Herdeiro

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-21 S. Habib Mazharimousavi

Minimally coupled 4D scalar fields in Schwarzschild space-time are considered. Dimensional reduction to 2D leads to a well known anomaly induced effective action, which we consider here in a local form with the introduction of auxiliary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Balbinot , A. Fabbri

Exact solutions of the Einstein-Maxwell equations that describe moving black holes in a cosmological setting are discussed with the aim of discovering the global structure and testing cosmic censorship. Continuation beyond the horizons…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Dieter R. Brill

The problem of matching different regions of spacetime in order to construct inhomogeneous cosmological models is investigated in the context of Lagrangian theories of gravity constructed from general analytic functions f(R), and from…

General Relativity and Quantum Cosmology · Physics 2013-04-24 Timothy Clifton , Peter Dunsby , Rituparno Goswami , Anne Marie Nzioki

Unlike in the Schwarzschild black hole background, gravitational perturbations in a Kerr black hole background can not be decomposed into simple tensor harmonics in the time domain. Here, we make mode decompositions only in the azimuthal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos O. Lousto , Hiroyuki Nakano

We discuss the exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions assuming a (anti-)self dual condition between the electromagnetic fields.…

High Energy Physics - Theory · Physics 2009-10-30 Masaru Kamata , Takao Koikawa

We construct balanced black ring solutions in $d\geq 6$ spacetime dimensions, by solving the Einstein field equations numerically with suitable boundary conditions. The black ring solutions have a regular event horizon with $S^1\times…

High Energy Physics - Theory · Physics 2015-06-05 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

Making use of twistor structures and the Kerr theorem for shear-free null geodesic congruences, an infinite family of electromagnetic fields satisfying the homogeneous Maxwell equations in flat Minkowski and the associated curved…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Vladimir V. Kassandrov
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