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Related papers: Unstable fields in Kerr spacetimes

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We show the existence of a Hawking vector field in a full neighborhood of a local, regular, bifurcate, non-expanding horizon embedded in a smooth Einstein-Maxwell space-time without assuming the underlying space-time is analytic. It extends…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Pin Yu

The gravitational collapse of a complex scalar field in the harmonic map is modeled in spherical symmetry. Previous work has shown that a change of stability of the attracting critical solution occurs in parameter space from the discretely…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Steven L. Liebling

A new class of analytic charged spherically symmetric black hole solutions, which behave asymptotically as flat or (A)dS spacetimes, is derived for specific classes of $f(R)$ gravity, i.e., $f(R)=R-2\alpha\sqrt{R}$ and…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Gamal G. L. Nashed , Salvatore Capozziello

It is shown that the Kerr-Newman solution, representing charged and rotating stationary black holes, admits analytic extension at the singularity. This extension is obtained by using new coordinates, in which the metric tensor becomes…

General Relativity and Quantum Cosmology · Physics 2017-01-31 Ovidiu-Cristinel Stoica

We begin a program of work aimed at examining the interior of a rotating black hole with a non--zero cosmological constant. The generalisation of Teukolsky's equation for the radial mode functions is presented. It is shown that the energy…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Chris M. Chambers , Ian G. Moss

We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard GR form (e.g. Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Sergi Sirera , Johannes Noller

We investigate the implications of the existence of Killing spinors in a spacetime. In particular, we show that in vacuum and electrovacuum a Killing spinor, along with some assumptions on the associated Killing vector in an asymptotic…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Michael J. Cole , Juan A. Valiente Kroon

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd…

High Energy Physics - Theory · Physics 2009-05-29 Hari K. Kunduri , James Lucietti , Harvey S. Reall

Solution generating techniques for general relativity with a conformally (and minimally) coupled scalar field are pushed forward to build a wide class of asymptotically flat, axisymmetric and stationary spacetimes continuously connected to…

General Relativity and Quantum Cosmology · Physics 2015-03-31 Marco Astorino

In this work we present a formulation of the Teukolsky equation for generic spin perturbations on the hyperboloidal and horizon penetrating foliation of Kerr recently proposed by Racz and Toth. An additional, spin-dependent rescaling of the…

General Relativity and Quantum Cosmology · Physics 2013-05-15 Enno Harms , Sebastiano Bernuzzi , Bernd Bruegmann

The static region outside the event horizon of an asymptotically anti de Sitter black hole has a conformal timelike boundary $\mathscr{I}$ on which boundary conditions have to be imposed for the evolution of linear fields from initial data…

High Energy Physics - Theory · Physics 2017-11-22 Bernardo Araneda , Gustavo Dotti

The quantization of linearized gravity on black hole spacetimes and the construction of states for that theory is a sought-after, yet difficult achievement. One of the main reasons is the difficulty of reconciling the positivity and gauge…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Christiane K. M. Klein

We consider the possibility of deriving a decoupled equation in terms of Weyl tensor components for gravitational perturbations of the Schwarzschild-Tangherlini solution. We find a particular gauge invariant component of the Weyl tensor…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Mahdi Godazgar

A regular solution of the system of coupled equations of the nonlinear electrodynamics and gravity describing static and spherically-symmetric black holes in an asymptotically de Sitter universe is constructed and analyzed. Special emphasis…

General Relativity and Quantum Cosmology · Physics 2009-02-12 Jerzy Matyjasek , Dariusz Tryniecki , Mariusz Klimek

Recently, a general analysis has been given of the stability with respect to axisymmetric perturbations of stationary-axisymmetric black holes and black branes in vacuum general relativity in arbitrary dimensions. It was shown that…

General Relativity and Quantum Cosmology · Physics 2015-09-15 Kartik Prabhu , Robert M. Wald

Recently it was pointed out that in shift-symmetric scalar-tensor theories a black hole can have nontrivial scalar hair which depends linearly on time. We develop black hole perturbation theory for such solutions and compute the quadratic…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Hiromu Ogawa , Tsutomu Kobayashi , Teruaki Suyama

We discuss a general method to study linear perturbations of slowly rotating black holes which is valid for any perturbation field, and particularly advantageous when the field equations are not separable. As an illustration of the method…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Paolo Pani , Vitor Cardoso , Leonardo Gualtieri , Emanuele Berti , Akihiro Ishibashi

The stability of the magnetically charged Reissner-Nordstrom black hole solution is investigated in the context of a theory with massive charged vector mesons. By exploiting the spherical symmetry of the problem, the linear perturbations…

High Energy Physics - Theory · Physics 2010-11-01 S. Alexander Ridgway , Erick J. Weinberg

We uncover two mechanisms that can render Kerr black holes unstable in scalar-tensor gravity, both associated to the presence of matter in the vicinity of the black hole and the fact that this introduces an effective mass for the scalar.…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Vitor Cardoso , Isabella P. Carucci , Paolo Pani , Thomas P. Sotiriou

We derive a stationary and axisymmetric black hole solution to quadratic order in the spin angular momentum. The previously found, linear-in-spin terms modify the odd-parity sector of the metric, while the new corrections appear in the…

General Relativity and Quantum Cosmology · Physics 2017-07-28 Kent Yagi , Nicolas Yunes , Takahiro Tanaka