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Universal aspects of gravity localized on thick branes

Joshua Erlich, Csaba Csaki, Yuri Shirman, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B581", Issue: 1-2, Pages: 309 - 338

Swansea University Author: Timothy Hollowood Orcid Logo

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Abstract

We study gravity in backgrounds that are smooth generalizations of the Randall-Sundrum model, with and without scalar fields. These generalizations include three-branes in higher dimensional spaces which are not necessarily Anti-de Sitter far from the branes, intersecting brane configurations and co...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 2000
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28556
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Abstract: We study gravity in backgrounds that are smooth generalizations of the Randall-Sundrum model, with and without scalar fields. These generalizations include three-branes in higher dimensional spaces which are not necessarily Anti-de Sitter far from the branes, intersecting brane configurations and configurations involving negative tension branes. We show that under certain mild assumptions there is a universal equation for the gravitational fluctuations. We study both the graviton ground state and the continuum of Kaluza-Klein modes and we find that the four-dimensional gravitational mode is localized precisely when the effects of the continuum modes decouple at distances larger than the fundamental Planck scale. The decoupling is contingent only on the long-range behaviour of the metric from the brane and we find a universal form for the corrections to Newton's Law. We also comment on the possible contribution of resonant modes. Given this, we find general classes of metrics which maintain localized four-dimensional gravity. We find that three-brane metrics in five dimensions can arise from a single scalar field source, and we rederive the BPS type conditions without any a priori assumptions regarding the form of the scalar potential. We also show that a single scalar field cannot produce conformally-flat locally intersecting brane configurations or a p-brane in greater than
College: Faculty of Science and Engineering
Issue: 1-2
Start Page: 309
End Page: 338