Kasner Solution in Brans-Dicke Theory and its Corresponding Reduced Cosmology

TL;DR

This paper explores a generalized Kasner solution within 5D Brans-Dicke theory using modified Brans-Dicke theory, analyzing the resulting reduced anisotropic cosmology and its properties.

Contribution

It introduces a generalized Kasner solution in 5D Brans-Dicke theory via MBDT and investigates its cosmological implications on reduced hypersurfaces.

Findings

Extended Kasner solution in 5D BD theory.

Analysis of cosmological quantities in reduced models.

Insights into anisotropic cosmology in higher dimensions.

Abstract

We present a brief review of the modified Brans-Dicke theory (MBDT) in arbitrary dimensions, whereby the ($N+1$)-dimensional field equations reduce to the $N$-dimensional $(ND)$ configuration with sources and an effective induced scalar potential. We then investigate a generalized Bianchi type~I anisotropic cosmology in $5D$ BD theory that leads to an extended Kasner solution. By employing the original equations of MBDT, we probe the reduced Kasner cosmology on the hypersuface with proceeding the investigations for a few cosmological quantities, explaining their properties for some cosmological models.}