# 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} }

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.

## 124 Citations

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