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In the Randall-Sundrum scenario, our universe is a 4-dimensional `brane' living in a 5-dimensional bulk spacetime. By studying the scattering of bulk gravity waves, we show that this brane rings with a characteristic set of complex…

High Energy Physics - Theory · Physics 2007-05-23 Sanjeev S. Seahra

We study cosmological perturbations in a brane-world scenario where the matter fields live on a four-dimensional brane and gravity propagates in the five-dimensional bulk. We present the equations of motion in an arbitrary gauge for metric…

Astrophysics · Physics 2014-10-13 Helen A. Bridgman , Karim A. Malik , David Wands

The low frequency part of the gravitational wave spectrum generated by local physics, such as a phase transition or parametric resonance, is largely fixed by causality, offering a clean window into the early Universe. In this work, this low…

High Energy Physics - Phenomenology · Physics 2021-03-17 Anson Hook , Gustavo Marques-Tavares , Davide Racco

We calculate the amplitude of gravitational waves produced by inflation on a de Sitter brane embedded in five-dimensional anti-de Sitter bulk spacetime, extending previous calculations in Randall-Sundrum type cosmology to include the effect…

High Energy Physics - Theory · Physics 2009-11-10 Mariam Bouhmadi-Lopez , Roy Maartens , David Wands

We study the wave equation for the gravitational waves in the Randal-Sundrum brane cosmology model. We solve the global Cauchy problem and we establish that the solutions are the sum of a slowly decaying massless wave localized near the…

Mathematical Physics · Physics 2012-03-27 Alain Bachelot

We construct supersymmetric brane solutions in string and M-theory with moduli parameters that depend arbitrarily on the light-cone time. Our investigation aims in understanding time dependent phenomena in gauge theories at strong coupling…

High Energy Physics - Theory · Physics 2010-04-05 Konstadinos Sfetsos

In this paper, we consider cosmological perturbations on a brane universe embedded in an Anti-de Sitter bulk. We use a novel gauge, in which the full five-dimensional problem is in principle solvable. In this gauge we derive the equations…

High Energy Physics - Theory · Physics 2007-05-23 C. van de Bruck , M. Dorca

In this paper, following hep-th/0501028, we present a detailed derivation and discussion of the exact gravitational field solutions for a relativistic particle localized on a tensional brane in brane-induced gravity. Our derivation yields…

High Energy Physics - Theory · Physics 2014-11-18 Nemanja Kaloper

We investigate the cosmological evolution of gravitational waves in Friedman-Robertson-Walker brane world models embedded in a five dimensional anti de-Sitter spacetime. To predict the spectrum of stochastic gravitational background at…

Astrophysics · Physics 2007-05-23 Kiyotomo Ichiki , Kouji Nakamura

We consider some classes of solutions of the static, spherically symmetric gravitational field equations in the vacuum in the brane world scenario, in which our Universe is a three-brane embedded in a higher dimensional space-time. The…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Harko , M. K. Mak

A gravitational shock wave is a solution to Einstein equations describing the gravitational field of a massless particle. We obtain such a geometry for a particle moving on a AdS_3 brane embedded in a AdS_4 bulk (the lower dimensional…

High Energy Physics - Theory · Physics 2009-11-18 Mohamed Anber , Lorenzo Sorbo

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 derive the gauge invariant perturbation equations for a 5-dimensional bulk spacetime in the presence of a brane. The equations are derived in full generality, without specifying a particular energy content of the bulk or the brane. We do…

High Energy Physics - Theory · Physics 2007-05-23 Alain Riazuelo , Filippo Vernizzi , Danièle Steer , Ruth Durrer

We review the doubly gauge invariant formalism of cosmological perturbations in the Randall-Sundrum brane world. This formalism leads to four independent equations describing the evolution of scalar perturbations. Three of these equations…

High Energy Physics - Theory · Physics 2007-05-23 Shinji Mukohyama

We present the covariant gravitational equations to describe a four-dimensional brane world in the case with the Gauss-Bonnet term in a bulk spacetime, assuming that gravity is confined on the $Z_2$ symmetric brane. It contains some…

High Energy Physics - Theory · Physics 2009-11-10 Kei-ichi Maeda , Takashi Torii

Brane-world cosmology is motivated by recent developments in string/M-theory and offers a new perspective on the hierarchy problem. In the brane-world scenario, our Universe is a four-dimensional subspace or {\em brane} embedded in a…

Astrophysics · Physics 2009-11-11 A. A. Coley

We investigate the effect of the bulk gravitational field on the cosmological perturbations on a brane embedded in the 5D Anti-de Sitter (AdS) spacetime. The effective 4D Einstein equations for the scalar cosmological perturbations on the…

High Energy Physics - Theory · Physics 2009-11-07 Kazuya Koyama , Jiro Soda

We consider a brane world scenario in which the bulk action is assumed to have the form of a generic function of the Ricci scalar $f(\mathcal{R})$ and derive the resulting Einstein field equations on the brane. In a constant curvature bulk…

General Relativity and Quantum Cosmology · Physics 2024-11-18 A. Borzou , H. R. Sepangi , S. Shahidi , R. Yousefi

We carry out a theoretical investigation on the collective dynamics of an ensemble of correlated atoms, subject to both vacuum fluctuations of spacetime and stochastic gravitational waves. A general approach is taken with the derivation of…

General Relativity and Quantum Cosmology · Physics 2018-03-20 Diego A. Quinones , Teodora Oniga , Benjamin T. H. Varcoe , Charles H. -T. Wang

Using "smooth brane" solutions of the field equations, we give an alternative derivation of the junction conditions for a "brane" in a five dimensional "bulk", when gravity is governed by the Einstein Lanczos (Gauss-Bonnet) equations.

General Relativity and Quantum Cosmology · Physics 2010-11-11 Nathalie Deruelle , Cristiano Germani