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We examine the stability of charged Lovelock black hole solutions under vector type and scalar type perturbations. We find the suitable master variables for the stability analysis; the equations for these variables are the Schrodinger type…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Tomohiro Takahashi

We study the stability of static black holes in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We derive a master equation for tensor perturbations in general Lovelock theory. It turns out that the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Tomohiro Takahashi , Jiro Soda

It is well-known that parity symmetry is broken in the weak interaction but conserved for Einstein's general relativity and Maxwell's electromagnetic theory. Nevertheless, parity symmetry could also be violated in the…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Hao-Jie Lin , Tao Zhu , Shao-Jun Zhang , Anzhong Wang

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 test the stability of various wormholes and black holes supported by a scalar field with a negative kinetic term. The general axial perturbations and the monopole type of polar perturbations are considered in the linear approximation.…

General Relativity and Quantum Cosmology · Physics 2013-07-15 K. A. Bronnikov , R. A. Konoplya , A. Zhidenko

We study the stability of static black holes in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We show that Lovelock black holes are stable under vector perturbations in all dimensions. However, we…

General Relativity and Quantum Cosmology · Physics 2011-02-03 Tomohiro Takahashi , Jiro Soda

Gravitational wave observations can test the validity of General Relativity (GR) in the strong field regime. Certain classes of scalar-tensor theories indeed predict that compact objects can exhibit significant deviations from their GR…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Georgios Antoniou , Caio F. B. Macedo , Andrea Maselli , Thomas P. Sotiriou

Black hole configurations offer insights on the non-linear aspects of gravitational theories, and can suggest testable predictions for modifications of General Relativity. In this work, we examine exact black hole configurations in…

High Energy Physics - Theory · Physics 2016-08-17 Javier Chagoya , Gustavo Niz , Gianmassimo Tasinato

We study linear perturbations about static and spherically symmetric black holes with a time-independent background scalar field in shift-symmetric Horndeski theories, whose Lagrangian is characterized by coupling functions depending only…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa

In four-dimensional scalar-tensor theories derived via dimensional regularization with a conformal rescaling of the metric, we study the stability of planar black holes (BHs) whose horizons are described by two-dimensional compact Einstein…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Antonio De Felice , Shinji Tsujikawa

Horndeski theory constitutes the most general model of scalar-tensor theories. It has attracted much attention in recent years in relation with black holes, celestial dynamics, stability analysis, etc. It is important to note that, for…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Chao Zhang , Tao Zhu

We present the first example of a linearized gravitational instability of an asymptotically flat vacuum black hole. We study perturbations of a Myers-Perry black hole with equal angular momenta in an odd number of dimensions. We find no…

High Energy Physics - Theory · Physics 2010-12-03 Oscar J. C. Dias , Pau Figueras , Ricardo Monteiro , Harvey S. Reall , Jorge E. Santos

We compare the fully nonlinear and perturbative evolution of nonrotating black holes with odd-parity distortions utilizing the perturbative results to interpret the nonlinear results. This introduction of the second polarization…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J Baker , S Brandt , M Campanelli , C O Lousto , E Seidel , R Takahashi

We develop the perturbation theory for R^2 string-corrected black hole solutions in d dimensions. After having obtained the master equation and the alpha'-corrected potential under tensorial perturbations of the metric, we study the…

High Energy Physics - Theory · Physics 2009-11-11 Filipe Moura

We consider the stability of black holes within both classical general relativity and the semiclassical thermodynamic description. In particular, we study linearised perturbations and their contribution to the gravitational partition…

High Energy Physics - Theory · Physics 2010-06-29 Ricardo Monteiro

A gauge and coordinate invariant perturbation theory for self-gravitating non-Abelian gauge fields is developed and used to analyze local uniqueness and linear stability properties of non-Abelian equilibrium configurations. It is shown that…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Olivier Sarbach , Markus Heusler , Othmar Brodbeck

We study the linear perturbations about nonrotating black holes in the context of degenerate higher-order scalar-tensor (DHOST) theories, using a systematic approach that extracts the asymptotic behaviour of perturbations (at spatial…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

We perform the stability analysis of the Schwarzschild black hole in $f(R)$ gravity with the parity-violating Chern-Simons (CS) term coupled to a dynamical scalar field $\theta$. For this purpose, we transform the $f(R)$ gravity into the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Taeyoon Moon , Yun Soo Myung

We study the Horndeski vector-tensor theory that leads to second order equations of motion and contains a non-minimally coupled abelian gauge vector field. This theory is remarkably simple and consists of only 2 terms for the vector field,…

High Energy Physics - Theory · Physics 2013-11-18 Jose Beltrán Jiménez , Ruth Durrer , Lavinia Heisenberg , Mikjel Thorsrud

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