Bimetric Gravitation and Cosmology in Five Dimension

TL;DR

This paper examines five-dimensional bimetric gravity theories, questioning previous cosmological assumptions and presenting alternative models, extending earlier four-dimensional work to explore new cosmological possibilities.

Contribution

It challenges prior five-dimensional cosmological considerations in bimetric gravity and introduces new models differing from earlier four-dimensional analyses.

Findings

Feasibility of previous five-dimensional cosmological assumptions is doubtful.

Multiple alternative cosmological models are possible in five-dimensional bimetric theory.

Extension of four-dimensional results to five dimensions reveals new cosmological possibilities.

Abstract

Lee. et.al. (1976) analysed the bimetric theory with the help of parameterized post Newtonian (PPN) formalism. They found that the post Newtonian limit of the theory is identical with that of general theory of relativity except for their PPN parameter $\alpha_{2}$, on the basis of cosmological considerations. In the present paper it is pointed out that feasibility of such considerations are doubtful in five dimensional bimetric theory of relativity. As the universe is unique and is governed by physical laws, many different cosmologies are possible. Examples are given for some possible cosmological models, which are different, that those of Lee. et.al. This work is an extension in five dimension of a similar one obtained earlier by Rosen (1977) for four dimensional space-time.