# Cosmological solutions from induced matter model applied to 5D $$f(R,T)$$f(R,T) gravity and the shrinking of the extra coordinate

@article{Moraes2015CosmologicalSF,
title={Cosmological solutions from induced matter model applied to 5D \$\$f(R,T)\$\$f(R,T) gravity and the shrinking of the extra coordinate},
author={P. H. R. S. Moraes},
journal={The European Physical Journal C},
year={2015},
volume={75},
pages={1-8}
}
• P. Moraes
• Published 9 February 2015
• Physics
• The European Physical Journal C
In this work, I present exact cosmological solutions from Wesson’s induced matter model applied to a general 5D metric in $$f(R,T)$$f(R,T) theory of gravity. The non-conservation of the energy-momentum tensor, predicted by $$f(R,T)$$f(R,T) theory, allows the derivation of a relation that describes the time evolution of the extra coordinate, revealing its compactification. It is shown that such a compactification could induce the effects of an accelerated expansion in the observable universe.
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