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We explore via linearized perturbation theory the Gregory-Laflamme instability of the black string solutions of Einstein's equations with negative cosmological constant recently discussed in literature. Our results indicate that the black…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , T. Delsate , E. Radu

We study linear perturbations of a rotating black hole solution that has been recently discovered in degenerate higher-order scalar-tensor (DHOST) theories. We find a parametrization which permits the explicit resolution of the scalar…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Christos Charmousis , Marco Crisostomi , David Langlois , Karim Noui

We demonstrate the classical stability of the weak/Planck hierarchy within the Randall-Sundrum scenario, incorporating the Goldberger-Wise mechanism and higher-derivative interactions in a systematic perturbative expansion. Such…

High Energy Physics - Theory · Physics 2009-09-15 Adam Lewandowski , Raman Sundrum

We discuss the scalar cosmological perturbations in a 3-brane world with a 5D bulk. We first show explicitly how the effective perturbed Einstein's equations on the brane (involving the Weyl fluid) are encoded into Mukohyama's master…

High Energy Physics - Theory · Physics 2009-10-07 Cédric Deffayet

In this work we consider electromagnetic dynamics in Randall-Sundrum branes. It is derived a family of four-dimensional spacetimes compatible with Randall-Sundrum brane worlds, focusing on asymptotic flat backgrounds. Maximal extensions of…

General Relativity and Quantum Cosmology · Physics 2016-08-02 C. Molina , A. B. Pavan , T. E. Medina Torrejón

In this paper we revisit non-spherical perturbations of the Schwarzschild black hole in the context of $f(R)$ gravity. Previous studies were able to demonstrate the stability of the $f(R)$ Schwarzschild black hole against gravitational…

General Relativity and Quantum Cosmology · Physics 2015-08-04 Geraint Pratten

Using the inverse dimensional expansion method we study the elastic instability of black rings found recently in numerical analysis of fully nonlinear dynamical evolutions. In our analysis we should perform 1/D^1/2 expansions, not usual 1/D…

High Energy Physics - Theory · Physics 2016-05-27 Kentaro Tanabe

Thin enough black strings are unstable to growing ripples along their length, eventually pinching and forming a naked singularity on the horizon. We investigate how string theory can resolve this singularity. First, we study the…

High Energy Physics - Theory · Physics 2025-02-28 Roberto Emparan , Mikel Sanchez-Garitaonandia , Marija Tomašević

We prove the following variational principle for asymptotically Randall-Sundrum (RS) black holes, based on the first law of black hole mechanics: Instantaneously static initial data that extremizes the mass yields a static black hole, for…

General Relativity and Quantum Cosmology · Physics 2015-07-29 Scott Fraser , Douglas M. Eardley

We prove boundedness and polynomial decay statements for solutions to the spin $\pm1$ Teukolsky-type equation projected to the $\ell=1$ spherical harmonic on Reissner-Nordstr\"om spacetime. The equation is verified by a gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2019-09-19 Elena Giorgi

The holographic conjecture for black holes localized on a 3-brane in Randall-Sundrum braneworld models RS2 predicts the existence of a classical 5D time dependent solution dual to a 4D evaporating black hole. After briefly reviewing recent…

High Energy Physics - Theory · Physics 2008-11-26 Alessandro Fabbri , Giovanni Paolo Procopio

We construct uniform black-string solutions in Einstein-Gauss-Bonnet gravity for all dimensions $d$ between five and ten and discuss their basic properties. Closed form solutions are found by taking the Gauss-Bonnet term as a perturbation…

High Energy Physics - Theory · Physics 2014-11-20 Y. Brihaye , T. Delsate , E. Radu

In this thesis we investigate black holes in the Randall-Sundrum braneworld scenario. We begin with an overview of extra-dimensional physics, from the original proposal of Kaluza and Klein up to the modern braneworld picture of extra…

General Relativity and Quantum Cosmology · Physics 2008-10-10 Richard Whisker

Some braneworld models may have observable consequences that, if detected, would validate a requisite element of string theory. In the infinite Randall-Sundrum model (RS2), the AdS radius of curvature, L, of the extra dimension supports a…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Sean T. McWilliams

The gravitational perturbation of the Morris-Thorne wormhole has been derived by using the Newman-Penrose formalism. We apply Teukolsky equation to the wormhole spacetime, compute the perturbed Weyl scalars, $\Psi_{4}^{(1)}$ and obtain its…

General Relativity and Quantum Cosmology · Physics 2020-06-17 YuRi Kang , Sung-Won Kim

We present a generalization of previous results regarding the stability under gravitational perturbations of nakedly singular super extreme Kerr spacetime and Kerr black hole interior beyond the Cauchy horizon. To do so we study solutions…

General Relativity and Quantum Cosmology · Physics 2012-08-10 Gustavo Dotti , Reinaldo J. Gleiser , Ignacio F. Ranea-Sandoval

We derive a simple set of non-linear, (1+1)-dimensional partial differential equations that describe the dynamical evolution of black strings and branes to leading order in the expansion in the inverse of the number of dimensions D. These…

High Energy Physics - Theory · Physics 2015-09-02 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

The nonlinear gravitational interaction is investigated in the Randall-Sundrum two branes model with the radius stabilization mechanism. As the stabilization model, we assume a single scalar field that has a potential in the bulk and a…

High Energy Physics - Theory · Physics 2009-11-07 Hideaki Kudoh , Takahiro Tanaka

U-duality symmetry of M-theory and S and T-duality of string theory can be used to study various black branes solutions. We explore some aspect of this idea here. This symmetry can be used to get relations among various components of the…

High Energy Physics - Theory · Physics 2015-12-23 Samrat Bhowmick

We develop a formalism to treat higher order (nonlinear) metric perturbations of the Kerr spacetime in a Teukolsky framework. We first show that solutions to the linearized Einstein equation with nonvanishing stress tensor can be decomposed…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Stephen R. Green , Stefan Hollands , Peter Zimmerman