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

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.

8 pages, 4 figures. Accepted for publication in European Physical Journal C

References in corpus (4)

• f(R,T) gravity
• Friedmann model with viscous cosmology in modified $f(R,T)$ gravity theory
• Spherically symmetric brane spacetime with bulk $f(\mathcal{R})$ gravity
• Anisotropic Cosmology and (Super)Stiff Matter in Hořava's Gravity Theory

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