A Class of Anisotropic Five-Dimensional Solutions for the Early Universe

TL;DR

This paper derives a new class of five-dimensional anisotropic cosmological models by solving Ricci-flat equations, extending known four-dimensional solutions, with potential implications for understanding the early universe.

Contribution

It introduces a novel class of five-dimensional anisotropic solutions analogous to Bianchi type-I models, expanding the scope of cosmological solutions in higher-dimensional gravity theories.

Findings

New five-dimensional anisotropic solutions derived.

Models analogous to Bianchi type-I in 4D.

Potential implications for early universe cosmology.

Abstract

We solve the Ricci-flat equations of extended general relativity to obtain an interesting class of cosmological models. The solutions are analogous to the 4D ones of Bianchi type-I of Kasner type and have significant implications for astrophysics.