Gravitational Forces in the Randall-Sundrum Model with a Scalar Stabilizing Field

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dc.creatorArnowitt, R.
dc.creatorDent, J.
dc.date2005-09-12
dc.date2007-03-01
dc.date.accessioned2026-07-07T11:43:51Z
dc.date.available2026-07-07T11:43:51Z
dc.descriptionWe consider the problem of gravitational forces between point particles on the branes in a five dimensional (5D) Randall-Sundrum model with two branes (at $y_1$ and $y_2$) and $S^1/Z_2$ symmetry of the fifth dimension. The matter on the branes is viewed as a perturbation on the vacuum metric and treated to linear order. In previous work \cite{ad} it was seen that the trace of the transverse part of the 4D metric on the TeV brane, $f^T(y_2)$, contributed a Newtonian potential enhanced by $e^{2βy_2} \cong 10^{32}$ and thus produced gross disagreement with experiment. In this work we include a scalar stabilizing field $ϕ$ and solve the coupled Einstein and scalar equations to leading order for the case where $ϕ_{0}^2/M_{5}^3$ is small and the vacuum field $ϕ_{0}(y)$ is a decreasing function of $y$. $f^T$ then grows a mass factor $e^{-μr}$ where however, $μ$ is suppressed from its natural value, $\mathcal{O}(M_{Pl})$, by an exponential factor $e^{-(1+λ_b)βy_2}$, $λ_b > 0$. Thus agreement with experiment depends on the interplay between the enhancing and decaying exponentials. Current data eliminates a significant part of the parameter space, and the Randall-Sundrum model will be sensitive to any improvements on the tests of the Newtonian force law at smaller distances.
dc.description22 pages, Fig.1 added
dc.identifierhttps://arxiv.org/abs/hep-th/0509081
dc.identifierhttp://arxiv.org/abs/hep-th/0509081
dc.identifierPhys.Rev.D75:064001,2007
dc.identifierdoi:10.1103/PhysRevD.75.064001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201394
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleGravitational Forces in the Randall-Sundrum Model with a Scalar Stabilizing Field
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