Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate

TL;DR

This paper derives exact cosmological solutions within a 5D f(R,T) gravity framework using Induced Matter Model, showing how extra dimension compactification could explain the universe's accelerated expansion.

Contribution

It introduces exact cosmological solutions in 5D f(R,T) gravity with a novel relation for extra dimension evolution, linking it to cosmic acceleration.

Findings

Extra dimension compactification can induce accelerated expansion.

Derived relation describes time evolution of the extra coordinate.

f(R,T) gravity predicts non-conservation of energy-momentum tensor.

Abstract

In this work, I present exact cosmological solutions from Wesson's Induced Matter Model application to a general 5D metric in f(R,T) theory of gravity. The non-conservation of the energy-momentum tensor, predicted by f(R,T) theory, allows the derivation of a relation that describes the time evolution of the extra coordinate, revealing its compactification. It is showed that such a compactification could induce the effects of an accelerated expansion in the observable universe.