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We prove the existence of instabilities for the geometric linear wave equation on extremal Kerr spacetime backgrounds, which describe stationary black holes rotating at their maximally allowed angular velocity. These instabilities can be…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Dejan Gajic

Normal modes, quasi-normal modes and super-radiant modes are studied to clarify the total dynamics for complex scalar fields in Kerr anti-de Sitter black hole spacetime. Orthonormal relations and quasi-orthonormal relations are obtained for…

General Relativity and Quantum Cosmology · Physics 2009-05-06 Masakatsu Kenmoku

We discuss various physical aspects of nonextremal, extremal and supersymmetric black holes in asymptotically anti-de Sitter (ADS) spacetimes. Specifically, we discuss how the isolated horizon (IH) framework leads to an ambiguity-free…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Ivan Booth , Tomas Liko

We study the stability of charged rotating black holes in a consistent truncation of Type $IIB$ Supergravity on $AdS_5 \times S^5$ that degenerate to extremal black holes with zero entropy. These black holes have scaling properties between…

High Energy Physics - Theory · Physics 2015-06-12 Micha Berkooz , Anna Frishman , Amir Zait

In this article, the behaviour of a charged and massive scalar field around a global monopole swallowed by a Reissner-Nordstr\"{o}m-Anti-de Sitter (RN-AdS) black hole is investigated by considering the Klein-Gordon equation in this…

General Relativity and Quantum Cosmology · Physics 2020-05-19 M. Haluk Seçuk , Özgür Delice

In this study, we investigate the real-time dynamics during the spontaneous deformation of an unstable spherical black hole in asymptotically anti-de Sitter (AdS) spacetime. For the initial value, the static solutions with spherical…

General Relativity and Quantum Cosmology · Physics 2024-03-29 Zhuan Ning , Qian Chen , Yu Tian , Xiaoning Wu , Hongbao Zhang

Black holes gradually settle into their static configuration by emitting gravitational waves, whose amplitude diminish over time according to a power-law decay at fixed spatial locations. We show that the nonlinear tails in the presence of…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Alex Kehagias , Antonio Riotto

We investigate the quasinormal modes for gravitational perturbations of rotating black holes in four dimensional Anti-de Sitter (AdS) spacetime. The study of the quasinormal frequencies related to these modes is relevant to the AdS/CFT…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. Giammatteo , I. G. Moss

We study scalar test-field perturbations on top of a Kerr--black-bounce background, i.e. a family of rotating regular black holes and/or rotating traversable wormholes that can mimic Kerr black holes. We compute the quasi-normal modes for a…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Edgardo Franzin , Stefano Liberati , Jacopo Mazza , Ramit Dey , Sumanta Chakraborty

We investigate dynamics of the conformal scalar equation with defocusing cubic nonlinearity and Robin boundary conditions on the Reissner-Nordstr\"{o}m-anti-de Sitter background. At certain parts of the parameters phase space the zero…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Filip Ficek , Maciej Maliborski

In this paper, we study an extended phase space thermodynamics of a nonlinearly charged AdS black hole. We examine both the local and global stabilities, and possible phase transition of the black hole solutions. Finally, we compute…

General Relativity and Quantum Cosmology · Physics 2020-03-31 S. N. Sajadi , N. Riazi , S. H. Hendi

Black holes typically inhabit highly dynamical galactic environments and are frequently permeated by accretion media. The inevitable scattering of scalar, electromagnetic and gravitational waves off rotating and charged black holes provides…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Giacomo Mascher , Kyriakos Destounis , Kostas D. Kokkotas

Recently it was shown that small deformations of the asymptotically flat black-hole geometry in some region near its horizon which do not alter considerably the fundamental mode, nevertheless, strongly affect the first several (and higher)…

General Relativity and Quantum Cosmology · Physics 2024-02-09 R. A. Konoplya , A. Zhidenko

Using the AdS/CFT correspondence, we show that the Anti-de Sitter (AdS) rotating (Kerr) black holes in five and seven dimensions provide us with examples of non-trivial field theories which are scale, but not conformally invariant. This is…

High Energy Physics - Theory · Physics 2009-10-31 Adel M. Awad , Clifford V. Johnson

We show how to extend the usual black string instability of vacuum or charged black p-branes to the anti-de Sitter background. The string fragments in an analogous fashion to the $\Lambda=0$ case, the main difference being that instead of a…

High Energy Physics - Theory · Physics 2010-04-06 Ruth Gregory

In this article, the superradiation stability of Kerr-Newman black holes is discussed by introducing the condition used in Kerr black holes y into them. Moreover, the motion equation of the minimal coupled scalar perturbation in a…

General Relativity and Quantum Cosmology · Physics 2022-07-26 Wen-Xiang Chen , Yao-Guang Zheng

We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

We review the recent developements in the stability problem and phase diagram for asymptotically locally $AdS$ black strings. First, we quickly review the case of locally flat black string before turning to the case of locally $AdS$…

High Energy Physics - Theory · Physics 2009-04-24 T. Delsate

The stability of black holes and solitons in d-dimensional Anti-de Sitter space-time against scalar field condensation is discussed. The resulting solutions are "hairy" black holes and solitons, respectively. In particular, we will discuss…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Betti Hartmann

We analyze the thermodynamic response near extremality of black holes with angular momentum in (3+1)-dimensional de Sitter and Anti-de Sitter spacetimes. While Kerr-AdS$_4$ is characterized by a single extremal limit, for Kerr-dS$_4$ there…

High Energy Physics - Theory · Physics 2025-05-06 Francesca Mariani , Chiara Toldo
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