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Black hole perturbation theory for Kerr black holes is best studied in the Newman Penrose Formalism, in which gravitational waves are described as perturbations in the Weyl scalars $\psi_0$ and $\psi_4$, with the governing equation being…

General Relativity and Quantum Cosmology · Physics 2021-12-28 Manu Srivastava , Yanbei Chen

We study the generation and evolution of gravitational waves (tensor perturbations) in the context of Randall-Sundrum braneworld cosmology. We assume that the initial and final stages of the background cosmological model are given by de…

High Energy Physics - Theory · Physics 2009-11-11 Tsutomu Kobayashi , Takahiro Tanaka

In this paper, a direct rigorous mathematical proof of the Gregory-Laflamme instability for the five-dimensional Schwarzschild black string is presented. Under a choice of ansatz for the perturbation and a gauge choice, the linearised…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Sam C. Collingbourne

We solve the 2+1-dimensional Teukolsky equation numerically for the Weyl scalars $\psi_0$ and $\psi_4$ along a time-like geodesic approaching the Cauchy horizon of a rapidly rotating perturbed Kerr black hole. We find that both the…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Caroline Mallary , Gaurav Khanna , Lior M. Burko

We consider exact solutions for static black holes localized on a three-brane in five-dimensional gravity in the Randall-Sundrum scenario. We show that the Reissner-Nordstrom metric is an exact solution of the effective Einstein equations…

High Energy Physics - Theory · Physics 2009-10-31 Naresh Dadhich , Roy Maartens , Philippos Papadopoulos , Vahid Rezania

Gravitational perturbations of the de Sitter spacetime are investigated using the Regge--Wheeler formalism. The set of perturbation equations is reduced to a single second order differential equation of the Heun-type for both electric and…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Donato Bini , Giampiero Esposito , Andrea Geralico

We consider Kaluza-Klein models where internal spaces are compact flat or curved Einstein spaces. This background is perturbed by a compact gravitating body with the dust-like equation of state (EoS) in the external/our space and an…

General Relativity and Quantum Cosmology · Physics 2018-01-25 Ozgur Akarsu , Alexey Chopovsky , Alexander Zhuk

It is well known that Teukolsky equation of gravitational perturbations provides a powerful tool for the investigation of the ringdown phase of a binary black hole merger, but it is applicable only for final configurations in the Kerr…

General Relativity and Quantum Cosmology · Physics 2020-12-08 Zhong-Heng Li

In the context of this dissertation, we study the emergence of black-string and black-hole solutions in the framework of five-dimensional braneworld models. The main motivation for studying such theories stems from the Randall-Sundrum…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Theodoros Nakas

By use of the gauge-invariant variables proposed by Kodama and Ishibashi, we obtain the most general perturbation equations in the $(m+n)$-dimensional spacetime with a warped product metric. These equations do not depend on the spectral…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Rong-Gen Cai , Li-Ming Cao

In the framework of a general scalar-tensor theory, where the scalar field is non-minimally coupled to the five-dimensional Ricci scalar curvature, we investigate the emergence of complete brane-world solutions. By assuming a variety of…

High Energy Physics - Theory · Physics 2020-05-06 Theodoros Nakas , Panagiota Kanti , Nikolaos Pappas

We investigate, in Randall-Sundrum braneworld scenario, the relationship between perturbations of gravitational and electromagnetic waves in a black hole neighboorhood, proposing an extra-dimensional braneworld extension of the traditional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roldao da Rocha , Carlos H Coimbra-Araujo

We present a systematical study of brane worlds in string theory on $S^{1}/Z_{2}$. Starting with the toroidal compactification of the NS/NS sector in (D+d) dimensions, we first obtain an effective $D$-dimensional action, and then compactify…

High Energy Physics - Phenomenology · Physics 2015-05-13 Anzhong Wang , N. O. Santos

In this paper we study fermion perturbations in four dimensional black holes of string theory, obtained either from a non-extreme configuration of three intersecting five-branes with a boost along the common string or from a non-extreme…

General Relativity and Quantum Cosmology · Physics 2011-04-08 Owen Pavel Fernández Piedra , Jeferson de Oliveira

Braneworld models with variable tension are investigated, and the corrections on the black string horizon along the extra dimension are provided. Such corrections are encrypted in additional terms involving the covariant derivatives of the…

General Relativity and Quantum Cosmology · Physics 2012-02-27 Roldao da Rocha , J. M. Hoff da SIlva

Rotating charged black strings are solutions of four-dimensional Einstein-Maxwell equations with a negative cosmological constant and a non-trivial topology. According to the AdS/CFT correspondence, these black strings are dual to rotating…

General Relativity and Quantum Cosmology · Physics 2015-11-18 Alex S. Miranda , Jaqueline Morgan , Vilson T. Zanchin , Alejandra Kandus

Non-uniform black strings in the two-brane system are investigated using the effective action approach. It is shown that the radion acts as a non-trivial hair of the black strings. From the brane point of view, the black string appears as…

High Energy Physics - Theory · Physics 2009-11-10 Takashi Tamaki , Sugumi Kanno , Jiro Soda

We investigate a brane model based on Randall-Sundrum scenarios with a generic dark energy component. The latter drives the accelerated expansion at late times of the Universe. In this scheme, extra terms are added into Einstein Field…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-21 Miguel A. Garcia-Aspeitia , Juan Magaña , Alberto Hernandez-Almada , V. Motta

We derive the Lichnerowicz equation in the presence of the Gauss-Bonnet term. Using the modified Lichnerowicz equation we study the metric perturbations of Gauss-Bonnet black strings in Codimension-2 Braneworlds.

High Energy Physics - Theory · Physics 2015-05-20 Bertha Cuadros-Melgar , Eleftherios Papantonopoulos , Minas Tsoukalas , Vassilios Zamarias

The polar perturbation is examined when the spacetime is expressed by a 4d metric induced from higher-dimensional Schwarzschild geometry. Since the spacetime background is not a vacuum solution of 4d Einstein equation, the various general…

High Energy Physics - Theory · Physics 2009-11-11 D. K. Park
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