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We reveal the existence of a new form of spontaneously scalarized black-hole configurations. In particular, it is proved that Reissner-Nordstr\"om black holes in the highly charged regime $Q/M>(Q/M)_{\text{crit}}=\sqrt{21}/5$ can support…

High Energy Physics - Theory · Physics 2022-02-23 Shahar Hod

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

The stability of the Schwarzschild black hole is studied. Regge and Wheeler treated the problem first at 1957 and obtained the dynamical equations for the small perturbation. There are two kinds of perturbations: odd one and even one. Using…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Guihua Tian , Shikun Wang , Zhao Zheng

We investigate the new massive conformal gravity which is not invariant under conformal transformations, in comparison to the massive conformal gravity. We find five polarization modes of gravitational waves propagating on the Minkowski…

General Relativity and Quantum Cosmology · Physics 2014-02-11 Yun Soo Myung

Conformal invariance can ameliorate or eliminate the singularities residing in the black holes, and may still exist in the strong gravity regimes close to these black holes. In this paper, we try to probe this conformal invariance by…

General Relativity and Quantum Cosmology · Physics 2020-06-09 Rui-Hui Lin , Rui Jiang , Yang Huang , Xiang-Hua Zhai

We construct two solutions of the minimally coupled Einstein-scalar field equations, representing regular deformations of Schwarzschild black holes by a self-interacting, static, scalar field. One solution features an exponentially decaying…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Helge Dennhardt , Olaf Lechtenfeld

We discuss stability issues of Schwarzschild black hole in non-local gravity. It is shown that the stability analysis of black hole for the unitary and renormalizable non-local gravity with $\gamma_2=-2\gamma_0$ cannot be performed in the…

General Relativity and Quantum Cosmology · Physics 2018-02-21 Yun Soo Myung , Young-Jai Park

We consider spherically symmetric spacetimes sourced by a fluid with pressure anisotropy in the radial direction. We use gauge-invariant perturbation theory to study the stability of this class of spacetimes under axial perturbations. We…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Bhavesh Khamesra , V Suneeta

We study the linear stability problem to gravitational and electromagnetic perturbations of the extremal, $ |\mathcal{Q}|=M, $ Reissner-Nordstr\"om spacetime, as a solution to the Einstein-Maxwell equations. Our work uses and extends the…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Marios Antonios Apetroaie

We study the quasinormal modes of Boulware-Deser-Wheeler black hole in Einstein-Gauss-Bonnet gravity theory within the hyperboloidal framework. The effective potentials for the test Klein-Gordon field and gravitational perturbations of…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Li-Ming Cao , Liang-Bi Wu , Yu-Sen Zhou

Stability of Schwarzschild-AdS (SAdS) black hole is investigated in Einstein-Weyl-scalar (EWS) theory with a negative cosmological constant. Here, we introduce a quadratic scalar coupling to the Weyl term, instead of the Gauss-Bonnet term.…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Yun Soo Myung

We study the quasi-normal modes (QNM) of electromagnetic and gravitational perturbations of a Schwarzschild black hole in an asymptotically Anti-de Sitter (AdS) spacetime. Some of the electromagnetic modes do not oscillate, they only decay,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Vitor Cardoso , Jose' P. S. Lemos

We investigate the properties of small-amplitude inertial waves propagating in a differentially rotating incompressible fluid contained in a spherical shell. For cylindrical and shellular rotation profiles and in the inviscid limit,…

Solar and Stellar Astrophysics · Physics 2015-06-04 C. Baruteau , M. Rieutord

We analyze evolution of gravitational perturbations of D-dimensional Schwarzschild, Reissner-Nordstr\"om, and Reissner-Nordstrom-de Sitter black holes. It is known that the effective potential for the scalar type of gravitational…

High Energy Physics - Theory · Physics 2010-10-27 R. A. Konoplya , A. Zhidenko

We present a formalism to study the metric perturbations of the Schwarzschild spacetime. The formalism is gauge invariant, and it is also covariant under two-dimensional coordinate transformations that leave the angular coordinates…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Karl Martel , Eric Poisson

We study evolution of gravitational perturbations of black strings. It is well known that for all wavenumber less than some threshold value, the black string is unstable against scalar type of gravitational perturbations, which is named the…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Konoplya , Keiju Murata , Jiro Soda , A. Zhidenko

We study the stability and the scattering properties of a spacetime with a topological defect along a spherical bubble. This bubble connects two flat spacetimes which are asymptotically Minkowski, so that the resulting universe may be…

General Relativity and Quantum Cosmology · Physics 2016-05-09 J. P. M. Pitelli , R. A. Mosna

The dynamical system constituted by two spherically symmetric thin shells and their own gravitational field is studied. The shells can be distinguished from each other, and they can intersect. At each intersection, they exchange energy on…

General Relativity and Quantum Cosmology · Physics 2009-11-07 P. Hajicek , I. Kouletsis

In this study, we explore the dynamics of particle orbits and their corresponding gravitational wave signatures in the vicinity of a Schwarzschild black hole (BH) surrounded by a cloud of strings and embedded in a perfect fluid dark matter…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Ziqiang Cai , Zhi Li , Zhenglong Ban , Qi-Qi Liang , Zheng-Wen Long

In this work, we present the new technique for discussing the dynamical motion of neutral as well as charged particles in the absence/presence of magnetic field around the time conformal Schwarzschild black hole. Initially, we find the…

General Physics · Physics 2016-11-23 Abdul Jawad , Farhad Ali , M. Umair Shahzad , G. Abbas