A Note on the Generalized Friedmann Equations for a Thick Brane

Abstract

Within our thick brane approach previously used to obtain the cosmological evolution equations on a thick brane embedded in a five-dimensional Schwarzschild Anti-de Sitter spacetime it is explicitly shown that the consistency of these equations with the energy conservation equation requires that, in general, the thickness of the brane evolves in time. This varying brane thickness entails the possibility that both Newton's gravitational constant $G$ and the effective cosmological constant ${\Lambda }_4$ are time dependent.

6 pages,To appear in GRG

References in corpus (8)

• Non-conventional cosmology from a brane-universe
• Brane cosmological evolution in a bulk with cosmological constant
• Brane-world cosmology
• Brane-Universes with Variable G and Lambda
• Cosmological Equations for a Thick Brane
• Unconventional cosmology on the (thick) brane
• Generalized Friedmann Equations for a Finite Thick Brane
• Anisotropic Brane Cosmology with Variable $G$ and $\Lambda$

Cited by in corpus (1)

• Thick brane solutions