Localized gravity on de Sitter brane in five dimensions

Abstract

We consider a single brane embedded in five dimensions with vanishing and positive bulk cosmological constant. In this setup, the existence of $d{S}_4$ brane is allowed. We explore the gravitational fluctuations on the brane, and we point 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, and the fundamental scale of five dimensions and Planck scale. Finally we show that not zero but tiny observed cosmological constant cannot be realized in this setup.

9 pages, final version in Europhysics Letters

References in corpus (4)

• A power law for the lowest eigenvalue in localized massive gravity
• Newton's law in braneworlds with an infinite extra dimension
• Graviton localization and Newton law for a dS_4 brane in 5D bulk
• Warped Geometry in Higher Dimensions with an Orbifold Extra Dimension

Cited by in corpus (8)

• Higher order corrections to the Newtonian potential in the Randall-Sundrum model
• Fermions localization on de Sitter branes
• Localization of gravity in brane world with arbitrary extra dimensions
• Scalar potential from de Sitter brane in 5D and effective cosmological constant
• Vacuum Energy Density and Cosmological Constant in dS Brane World
• Dark Energy Density in Brane World
• Schwarzschild-De Sitter black holes in 4+1 dimensional bulk
• Gravity on de-Sitter 3-Brane, Induced Einstein-Hilbert Term and Massless Gravitons