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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

We study the stability of static black holes in the third order Lovelock theory. We derive a master equation for tensor perturbations. Using the master equation, we analyze the stability of Lovelock black holes mainly in seven and eight…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Tomohiro Takahashi , Jiro Soda

We study the stability of static spherically symmetric charged black holes under tensor type perturbations in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We derive the master equation for tensor…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Tomohiro Takahashi

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

In this paper, we study existence and stability of static black holes in Lovelock theories with a particular focus on pure Lovelock black holes. We derive the equation of stability from action without using S-deformation approach. It turns…

General Relativity and Quantum Cosmology · Physics 2014-08-08 Radouane Gannouji , Naresh Dadhich

In this paper we show that pure Lovelock static Schwarzschild's analogue black hole in dimensions $d>3N+1$, where $N$ is the degree of Lovelock polynomial action, is stable even though pure Gauss-Bonnet $N=2$ black hole is unstable in…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Radouane Gannouji , Yolbeiker Rodríguez Baez , Naresh Dadhich

It is demonstrated that static, charged, spherically--symmetric black holes in string theory are classically and catastrophically unstable to linearized perturbations in four dimensions, and moreover that unstable modes appear for…

High Energy Physics - Theory · Physics 2007-05-23 Gerald Gilbert

In this chapter we consider perturbations and stability of higher dimensional black holes focusing on the static background case. We first review a gauge-invariant formalism for linear perturbations in a fairly generic class of…

High Energy Physics - Theory · Physics 2015-05-27 Akihiro Ishibashi , Hideo Kodama

We discuss the stability of (charged) static black holes in higher-dimensional spacetimes with and without cosmological constant by using gauge-invariant master equations of the Schroedinger equation type for black hole perturbations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hideo Kodama , Akihiro Ishibashi

Five and six dimensional static, spherically symmetric, asymptotically Euclidean black holes, are unstable under gravitational perturbations if their mass is lower than a critical value set by the string tension. The instability is due to…

High Energy Physics - Theory · Physics 2008-11-26 Martin Beroiz , Gustavo Dotti , Reinaldo J. Gleiser

We show that homogeneous black strings of third-order Lovelock theory are unstable under s-wave perturbations. This analysis is done in dimension $D=9$, which is the lowest dimension that allows the existence of homogeneous black strings in…

High Energy Physics - Theory · Physics 2016-05-11 Alex Giacomini , Carla Henriquez-Baez , Marcela Lagos , Julio Oliva , Aldo Vera

We show that linear perturbations around the simplest black hole solution of massive bi-gravity theories, the bi-Schwarzschild solution, exhibit an unstable mode featuring the Gregory-Laflamme instability of higher-dimensional black…

General Relativity and Quantum Cosmology · Physics 2013-07-05 Eugeny Babichev , Alessandro Fabbri

We study the stability of new neutral and electrically charged four-dimensional black hole solutions of Einstein's equations with a positive cosmological constant and conformally coupled scalar field. The neutral black holes are always…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tom J. T. Harper , Paul A. Thomas , Elizabeth Winstanley , Phil M. Young

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

The presented thesis is devoted to the study of instabilities of compact objects within the Einstein-Gauss-Bonnet theory. This theory includes higher-order corrections in curvature, which are inspired by the low energy limit of string…

High Energy Physics - Theory · Physics 2019-12-19 M. A. Cuyubamba

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

Recently, ultracompact objects have been found to be susceptible to a new nonlinear instability, known as the light-ring instability, triggered by stable light rings. This discovery raises concerns about the viability of these objects as…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Guangzhou Guo , Peng Wang , Yupeng Zhang

We consider static spherically symmetric Lovelock black holes and generalize the dimensionally continued black holes in such a way that they asymptotically for large r go over to the d-dimensional Schwarzschild black hole in dS/AdS…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Naresh Dadhich , Josep M. Pons , Kartik Prabhu

Perturbations and eikonal instabilities of black holes and branes in the Einstein-Gauss-Bonnet theory and its Lovelock generalization were considered in the literature for several particular cases, where the asymptotic conditions (flat, dS,…

High Energy Physics - Theory · Physics 2017-09-11 R. A. Konoplya , A. Zhidenko

We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes,…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Hideo Kodama
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