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We derive the second variation Lagrangian of the Randall-Sundrum model with two branes, study its gauge invariance and diagonalize it in the unitary gauge. We also show that the effective four-dimensional theory looks different on different…

High Energy Physics - Theory · Physics 2009-11-07 Edward E. Boos , Yuri A. Kubyshin , Mikhail N. Smolyakov , Igor P. Volobuev

We derive the effective Lagrangian of the physical four-dimensional fields in the Randall-Sundrum (RS) model, and use this to calculate the Newtonian gravitational potential between two point sources on the brane. The effect of the radion…

High Energy Physics - Phenomenology · Physics 2016-09-06 Petter Callin , Finn Ravndal

We consider brane world models with interbrane separation stabilized by the Goldberger-Wise scalar field. For arbitrary background, or vacuum configurations of the gravitational and scalar fields in such models, we construct the second…

High Energy Physics - Theory · Physics 2010-11-05 Edward E. Boos , Yuri S. Mikhailov , Mikhail N. Smolyakov , Igor P. Volobuev

The effective four-dimensional, linearised gravity of a Randall-Sundrum-like brane world model is analysed. The model includes higher order curvature terms (such as the Gauss-Bonnet term) and a scalar field. The resulting brane worlds can…

High Energy Physics - Theory · Physics 2007-05-23 Stephen C. Davis

We calculate the linearized metric perturbation corresponding to a massless four-dimensional scalar field, the radion, in a five-dimensional two-brane model of Randall and Sundrum. In this way we obtain relative strengths of the radion…

High Energy Physics - Theory · Physics 2009-10-31 Christos Charmousis , Ruth Gregory , Valery A. Rubakov

A globally consistent treatment of linearized gravity in the Randall-Sundrum background with matter on the brane is formulated. Using a novel gauge, in which the transverse components of the metric are non-vanishing, the brane is kept…

High Energy Physics - Theory · Physics 2008-11-26 I. Ya. Aref'eva , M. G. Ivanov , W. Mueck , K. S. Viswanathan , I. V. Volovich

In the literature about the Randall-Sundrum scenario one finds on one hand that there exist (small) corrections to Newton's law of gravity on the brane, and on another that the exact (and henceforth linearized) Einstein equations can be…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nathalie Deruelle , Tomas Dolezel

We analyse Randall-Sundrum two D-brane model by linear perturbation and then consider the linearised gravity on the D-brane. The qualitative contribution from the Kaluza-Klein modes of gauge fields to the coupling to the gravity on the…

High Energy Physics - Theory · Physics 2016-09-06 Tetsuya Shiromizu , Keitaro Takahashi , Yoshiaki Himemoto , Shuto Yamamoto

We present a general framework for nonparallel brane worlds and use it to discuss the nonlinear radion problem. By imposing the Einstein frame as a gauge condition we are able to give the effective action for both Minkowski and (A)dS$_{4}$…

High Energy Physics - Theory · Physics 2009-11-10 Jihn E. Kim , Gary B. Tupper , Raoul D. Viollier

We solve exactly the equations of motion for linearized gravity in the Randall-Sundrum model with matter on the branes and calculate the Newtonian limit in it. The result contains contributions of the radion and of the massive modes, which…

High Energy Physics - Theory · Physics 2007-05-23 Mikhail N. Smolyakov , Igor P. Volobuev

For the 2-brane Randall-Sundrum model, we calculate the bulk geometry for strong gravity, in the low matter density regime, for slowly varying matter sources. This is relevant for astrophysical or cosmological applications. The warped…

High Energy Physics - Theory · Physics 2009-11-07 T. Wiseman

In the warped space model, the inter-brane distance can be stabilized by the Goldberger-Wise mechanism. Of particular importance, the stabilization potential calls for a proper identification of the dynamical degree of freedom. In this…

High Energy Physics - Theory · Physics 2022-09-27 Haiying Cai

In Randall-Sundrum two D-brane system we derive the gravitational theory on the branes. It is turned out from the consistency that one D-brane has the negative tension brane under Randall-Sundrum tuning and both gauge fields on the brane…

High Energy Physics - Theory · Physics 2009-11-10 Tetsuya Shiromizu , Yoshiaki Himemoto , Keitaro Takahashi

We study gravitational perturbations in the Randall-Sundrum two-brane background with scalar-curvature terms in the action for the branes, allowing for positive as well as negative bulk gravitational constant. In the zero-mode…

High Energy Physics - Theory · Physics 2009-11-10 Yuri Shtanov , Alexander Viznyuk

We discuss how to consistently perform effective Lagrangian computations in quantum gravity with branes in compact extra dimensions. A reparametrization invariant and infrared finite result is obtained in a non trivial way. It is crucial to…

High Energy Physics - Phenomenology · Physics 2014-03-17 R. Contino , L. Pilo , R. Rattazzi , A. Strumia

We discuss the fully non-linear formulation of multigravity. The concept of universality classes of effective Lagrangians describing bigravity, which is the simplest form of multigravity, is introduced. We show that non-linear multigravity…

High Energy Physics - Theory · Physics 2009-11-07 Thibault Damour , Ian I. Kogan

We discuss several methods which can be used to distinguish the graviton resonances of the Randall-Sundrum model from the graviton-like resonances which may occur in other theories. The Breit-Wigner line shape of the RS graviton is found to…

High Energy Physics - Phenomenology · Physics 2016-09-06 Thomas G. Rizzo

We systematically study the question of identification and consistent inclusion of the radion, within the Lagrangian approach, in a two brane Randall-Sundrum model. Exploiting the symmetry properties of the theory, we show how the radion…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Alexander Mitov

In the present paper, we briefly review recent studies of second-order gravitational perturbations in braneworld models. After we consider the possibility of pathological behavior of gravity at higher orders of perturbation, second-order…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideaki Kudoh

We study the gravity in the context of a braneworld teleparallel scenario. The geometrical setup is assumed to be Randall-Sundrum II model where a single positive tension brane is embedded in an infinite AdS bulk. We derive the equivalent…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Kourosh Nozari , A. Behboodi , S. Akhshabi
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