Decaying Cosmological Constant of the Inflating Branes in the Randall-Sundrum -Oda Model

Abstract

We examine the issue of the cosmological constant in the $many$ $inflating$ branes scenario, extending on two recent models by I.Oda and Randall-Sundrum. The exact solution in a closed form is found in the slow roll approximation of the radion. Defining an effective expansion rate, which depends on the location of each brane in the fifth dimension and demanding stability for this case we show that each positive tension brane has a localized, decaying cosmological constant (the opposite process applies to the negative energy branes [4]) . The reason is that the square of the effective expansion rate enters as a source term in the Einstein equations for the branes.Thus the brane has two scale factors depending on time and the fifth dimnesion respectively .The brane will roll along the fifth dimension in order to readjust its effective expansion rate in such a way that it compensates for its internal energy changes due to inflation and possible phase transitions.

9 pages, comments and ref.added, solution replaced with the exact one, submitted to PRD

References in corpus (9)

• A Large Mass Hierarchy from a Small Extra Dimension
• Non-conventional cosmology from a brane-universe
• Cosmology of One Extra Dimension with Localized Gravity
• Holography and Compactification
• Infinitely Large New Dimensions
• Inflation in the five-dimensional universe with an orbifold extra dimension
• The Shape of Gravity
• General considerations of the cosmological constant and the stabilization of moduli in the brane-world picture
• Mass Hierarchy from Many Domain Walls

Cited by in corpus (4)

• Living on the edge: cosmology on the boundary of anti-de Sitter space
• Emergent Universe Scenario in the Einstein-Gauss-Bonnet Gravity with Dilaton
• What Can WMAP Tell Us About The Very Early Universe? New Physics as an Explanation of Suppressed Large Scale Power and Running Spectral Index
• Domain wall cosmology and multiple accelerations