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We show that the electromagnetic excitations of the Kerr black hole have very strong back reaction on metric. In particular, the electromagnetic excitations aligned with the Kerr congruence form the light-like beams which overcome horizon,…

High Energy Physics - Theory · Physics 2008-06-17 Alexander Burinskii

Kerr-Schild solutions of the Einstein-Maxwell field equations, containing semi-infinite axial singular lines, are investigated. It is shown that axial singularities break up the black hole, forming holes in the horizon. As a result, a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander Burinskii , Emilio Elizalde , Sergi R. Hildebrandt , Giulio Magli

We analytically study the linear response of a near-extremal Kerr black hole to external scalar, electromagnetic, and gravitational field perturbations. We show that the energy density, electromagnetic field strength, and tidal force…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Samuel E. Gralla , Aaron Zimmerman , Peter Zimmerman

A massless scalar field exhibits an instability at the event horizon of an extreme black hole. We study numerically the nonlinear evolution of this instability for spherically symmetric perturbations of an extreme Reissner-Nordstrom (RN)…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Keiju Murata , Harvey S. Reall , Norihiro Tanahashi

It has long been known that, in higher-dimensional general relativity, there are black hole solutions with an arbitrarily large angular momentum for a fixed mass. We examine the geometry of the event horizon of such ultra-spinning black…

High Energy Physics - Theory · Physics 2011-05-05 Roberto Emparan , Robert C. Myers

Magnetic fields surrounding spinning black holes can confine radiation and trigger superradiant instabilities. To investigate this effect, we perform the first fully-consistent linear analysis of the Ernst spacetime, an exact solution of…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Richard Brito , Vitor Cardoso , Paolo Pani

We show that elementary aligned electromagnetic excitations of black holes, as coming from exact Kerr-Schild solutions, represent light-like beam pulses which have a very strong back reaction on the metric and change the topology of the…

High Energy Physics - Theory · Physics 2009-02-02 Alexander Burinskii , Emilio Elizalde , Sergi R. Hildebrandt , Giulio Magli

Regular black holes with nonsingular cores have been considered in several approaches to quantum gravity, and as agnostic frameworks to address the singularity problem and Hawking's information paradox. While in a recent work we argued that…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Costantino Pacilio , Matt Visser

A class of exact solutions are presented for the interior of black holes of solar mass and beyond. In a core enclosed by the inner horizon, the binding energy released by dissolution of the pre-collapse nuclei is stored in electrostatic and…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Theodorus Maria Nieuwenhuizen

Regular black holes represent a conservative model in which the classical singularity is replaced by a non-singular core without necessarily modifying the spacetime outside the trapping horizon. Given the possible lack of phenomenological…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Francesco Di Filippo , Raúl Carballo-Rubio , Stefano Liberati , Costantino Pacilio , Matt Visser

We investigate the stability of highly charged Reissner-Nordstr\"om black holes to charged scalar perturbations. We show that the near-horizon region exhibits a transient instability which becomes the Aretakis instability in the extremal…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Peter Zimmerman

Aretakis has proved the existence of an instability of a massless scalar field at the horizon of an extreme Kerr or Reissner-Nordstrom black hole: for generic initial data, a transverse derivative of the scalar field at the horizon does not…

General Relativity and Quantum Cosmology · Physics 2012-11-16 James Lucietti , Harvey S. Reall

Black holes in $f(R)$-gravity are known to be unstable, especially the rotating ones. In particular, an instability develops that looks like the classical black hole bomb mechanism: the linearized modified Einstein equations are…

General Relativity and Quantum Cosmology · Physics 2020-11-12 Christian Dioguardi , Massimiliano Rinaldi

Generic models of regular black holes have separate outer and inner horizons, both with nonzero surface gravity. It has been shown that a nonzero inner horizon surface gravity results in exponential instability at the inner horizon…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Costantino Pacilio , Matt Visser

Gravitational-wave astronomy can give us access to the structure of black holes, potentially probing microscopic or even Planckian corrections at the horizon scale, as those predicted by some quantum-gravity models of exotic compact…

General Relativity and Quantum Cosmology · Physics 2017-12-07 Elisa Maggio , Paolo Pani , Valeria Ferrari

In spherical symmetry, solutions of the semiclassical Einstein equations belong to one of two possible classes. Both classes contain solutions that -- depending on the dynamic behavior of the horizon -- describe evaporating physical black…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Pravin K. Dahal , Sebastian Murk , Daniel R. Terno

We show that axisymmetric extremal horizons are unstable under linear scalar perturbations. Specifically, we show that translation invariant derivatives of generic solutions to the wave equation do not decay along such horizons as advanced…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Stefanos Aretakis

Static black holes contain regions of spacetime which not even light can escape from. In the centre of mass frame, these blocks are separated from each other by event horizons. Unlike pointlike particles, fields can spread and interact…

Analysis of PDEs · Mathematics 2024-12-03 Antti Kujanpää

The gravitational force harbours a fundamental instability against collapse. In standard General Relativity without Quantum Mechanics, this implies the existence of black holes as natural, stable solutions of Einstein's equations. If one…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Gerard 't Hooft

It has been observed that exact solutions for electromagnetic (EM) excitations of the Kerr-Schild (KS) geometry form outgoing beams which have very strong back reaction to metric and break the black hole horizon. As a result, interaction of…

High Energy Physics - Theory · Physics 2009-06-18 Alexander Burinskii
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