Abstract

We demonstrate that there exists an inflationary solution on the positive tension brane in the Randall-Sundrum scenario. Inflation is driven by a slow-rolling scalar field on the brane and is achieved within the perturbative limit of the radion field. We find that inflation on the positive tension brane results in a slight increase in the separation between the two branes. However, we show that the slow-roll inflation is not possible on the negative tension brane.

Highlights

  • An alternative mechanism of solving the hierarchy problem has been proposed w1x

  • The novel proposal exploits the fact that the fundamental Planck scale M is a TeV scale but in 4 q d dimensions, where d is the number of extra dimensions which are to be compactified

  • The low energy effective four dimensional action of gravity in the Randall-Sundrum scenario mimics that of a scalar tensor theory with a varying BransDicke parameter before the brane separation is stabilized

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Summary

October 2000

Anupam Mazumdar a, Jing Wang b a Astrophysics Group, Blackett Laboratory, Imperial College London, London SW7 2BZ, UK b Theory DiÕision, Fermi National Accelerator Laboratory, P.O.Box 500, BataÕia, IL 60510, USA. Received 20 April 2000; received in revised form 20 July 2000; accepted 24 July 2000

Introduction
Effective actions
Inflationary solutions
Fq v q
On the negatiÕe tension brane
Discussion

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