Higher Dimensional Szekeres' Space-time in Brans-Dicke Scalar Tensor Theory

TL;DR

This paper derives higher-dimensional Szekeres solutions within Brans-Dicke scalar-tensor gravity, exploring their dynamics including expansion, collapse, and cyclic behavior, and interpreting some solutions with Hoyle-Narlikar's C-field.

Contribution

It provides the first comprehensive derivation of higher-dimensional Szekeres solutions in Brans-Dicke theory, including solutions related to the C-field and their dynamic behaviors.

Findings

Models exhibit expansion from a big bang singularity or collapse with a turning point.

Some solutions describe cyclic evolution starting from a big bang, reaching a maximum, then collapsing.

Solutions can be interpreted as influenced by Hoyle-Narlikar's C-field.

Abstract

The generalized Szekeres family of solution for quasi-spherical space-time of higher dimensions are obtained in the scalar tensor theory of gravitation. Brans-Dicke field equations expressed in Dicke's revised units are exhaustively solved for all the subfamilies of the said family. A particular group of solutions may also be interpreted as due to the presence of the so-called C-field of Hoyle and Narlikar and for a chosen sign of the coupling parameter. The models show either expansion from a big bang type of singularity or a collapse with the turning point at a lower bound. There is one particular case which starts from the big bang, reaches a maximum and collapses with the in course of time to a crunch.