Models of Gravity in Five-dimensional Warped Product Spactimes

TL;DR

This paper investigates gravity in a five-dimensional warped spacetime with dynamic warp and extra dimensions, analyzing various scenarios including stabilized and scalar field sourced bulks to understand cosmological implications.

Contribution

It introduces new models of 5D warped spacetimes with time-dependent features and solves the field equations for different cases, extending previous static models.

Findings

Cosmological behavior derived from stabilized bulk with constant curvature.

Effects of scalar field sources on high-energy bulk dynamics.

Solutions for various warp and scale factors in 5D models.

Abstract

In this paper, we have considered gravity in a 5-dimensional warped product space-time with a time-dependent warp factor, time-dependent extra dimension and a bulk cosmological constant. The braneworld is described by a spatially flat FRW-type metric. The five-dimensional field equations have been constructed and solved for various cases of the warp factor and the extra-dimensional scale factor, starting from very general type of the metric and then reducing down to specific cases. In the low energy regime, a stabilized bulk with constant curvature has been considered, from which the cosmological behavior of the corresponding observed universe has been interpreted. In the high energy regime, the bulk is assumed to be sourced by an ordinary massless scalar field and thereafter the type of the scalar field source and the different scale factors have been investigated.