Submanifolds in space-time with unphysical extra dimensions, cosmology and warped brane world models

Abstract

The explicit coordinate transformations which show the equivalence between a four-dimensional spatially flat cosmology and an appropriate submanifold in the flat five-dimensional Minkowski space-time are presented. Analogous procedure is made for the case of five-dimensional warped brane world models. Several examples are presented.

4 pages, LaTeX, equations (19) and (20) corrected

References in corpus (3)

• Large and infinite extra dimensions
• Models with Extra Dimensions and Their Phenomenology
• Bulk Scalar Stabilization of the Radion without Metric Back-Reaction in the Randall-Sundrum Model

Cited by in corpus (3)

• Submanifolds in five-dimensional pseudo-Euclidean spaces and four-dimensional FRW universes
• Bulk metric of brane world models and submanifolds in 6D pseudo-Euclidean space-time
• FLRW embeddings in ${\mathbb{R}}^{n+2}$, differential geometry and conformal photon propagator