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

Asit Banerjee·Ujjal Debnath·Subenoy Chakraborty
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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.

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Asit Banerjee, Ujjal Debnath, Subenoy Chakraborty. 2004-04-21. Higher Dimensional Szekeres' Space-time in Brans-Dicke Scalar Tensor Theory. https://doi.org/10.1142/s0218271804005055

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