Localized gravity on de Sitter brane in five dimensions

Department of Physics, Nagoya University - Nagoya, Japan 464-8602

Corresponding author: mito@eken.phys.nagoya-u.ac.jp

Received: 15 May 2003
Accepted: 28 August 2003

Abstract

We consider a single brane embedded in five dimensions with zero and positive cosmological constant. In this setup, the existence of the dS₄ brane is allowed. We explore the gravitational fluctuations on the brane, it is pointed out that the usual four-dimensional gravity can be reproduced by a normalizable zero mode and that the continuous massive modes are separated by a mass gap from zero mode. We derive the relation among the cosmological constant in the brane, the five-dimensional fundamental scale and Planck scale. Finally, we show that a nonzero small observed cosmological constant cannot be obtained in this setup.