Europhys. Lett., 64 (3) , pp. 295-301 (2003)
Localized gravity on de Sitter brane in five dimensionsM. Ito
Department of Physics, Nagoya University - Nagoya, Japan 464-8602 firstname.lastname@example.org
(Received 15 May 2003; accepted in final form 28 August 2003)
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.
04.20.-q - Classical general relativity.
04.20.Jb - Exact solutions.
04.50.+h - Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories; alternative theories of gravity.
© EDP Sciences 2003