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arXiv · 1610.05965

Vacuum $ f(R)$ thick brane solution with a Gaussian warp function

S. Sedigheh Hashemi·Nematollah Riazi
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Abstract

This work deals with $f(R)$ modified gravity in five dimensional space-time. The Gaussian thick brane is shown to be an exact solution in the frame work of $f(R)$ gravity in five dimensions with a bulk cosmological constant. Response of the brane to gravitational fluctuations and concordance with the Starobinsky model is addressed. It is shown that the matter which supports the Starobinsky $f(R)$ solution with the background geometry being flat FLRW with a Gaussian warp function, behaves like a radiation dominated era of universe, gradually changing to a dark energy dominated era.

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S. Sedigheh Hashemi, Nematollah Riazi. 2016-10-19. Vacuum $ f(R)$ thick brane solution with a Gaussian warp function. https://doi.org/10.1016/j.aop.2018.10.010

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