Kasner-AdS spacetime and anisotropic brane-world cosmology

TL;DR

This paper explores anisotropic brane-world cosmology by deriving exact solutions related to Kasner-AdS spacetime, addressing the issue of initial condition isotropy in the early universe within a brane-world framework.

Contribution

It introduces a new class of exact solutions for anisotropic brane and bulk geometries, extending the Randall-Sundrum model with Kasner-like anisotropy.

Findings

Found exact solutions related to anisotropic Kasner spacetime

Revisited the question of initial isotropy in brane-world cosmology

Linked anisotropic solutions to fundamental cosmological issues

Abstract

Anisotropic generalization of Randall and Sundrum brane-world model is considered. A new class of exact solutions for brane and bulk geometry is found; it is related to anisotropic Kasner solution. In view of this, the old question of isotropy of initial conditions in cosmology rises once again in the brane-world context.