Gravitational forces in the brane world

R. Arnowitt and J. Dent
Phys. Rev. D 71, 124024 – Published 14 June 2005

Abstract

We consider the problem of gravitational forces between point particles on the branes in a Randall-Sundrum (R-S) two brane model with S1/Z2 symmetry. Matter is assumed to produce a perturbation to the R-S vacuum metric and all the 5D Einstein equations are solved to linearized order (for arbitrary matter on both branes). We show that while the gauge condition hi5=0,i=0,1,2,3 can always be achieved without brane bending, the condition h55=0 leads to large brane bending. The static potential arising from the zero modes and the corrections due to the Kaluza-Klein modes are calculated. Gravitational forces on the Planck (y1=0) brane recover Newtonian physics with small Kaluza-Klein corrections (in accord with other work). However, forces on the TeV (y2) brane due to particles on that brane are strongly distorted by large R-S exponentials.

  • Received 7 February 2005

DOI:https://doi.org/10.1103/PhysRevD.71.124024

©2005 American Physical Society

Authors & Affiliations

R. Arnowitt and J. Dent

  • Center For Theoretical Physics, Department of Physics, Texas A&M University, College Station, Texas 77843-4242, USA

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Issue

Vol. 71, Iss. 12 — 15 June 2005

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