Zahra Haghani, Hamid Reza Sepangi, Shahab Shahidi
The cosmological dynamics of a brane world scenario where the bulk action is
taken as a generic function of the Ricci scalar is considered in a framework
where the use of the $\mathbb{Z}_2$ symmetry and Israel junction conditions are
relaxed. The corresponding cosmological solutions for some specific forms of
$f(\mc{R})$ are obtained and shown to be in the form of exponential as well as
power law for a vacuum brane space-time. It is shown that the existence of
matter dominated epoch for a bulk action in the form of a power law for $\cal
R$ can only be obtained in the presence of ordinary matter. Using phase space
analysis, we show that the universe must start from an unstable matter
dominated epoch and eventually falls into a stable accelerated expanding phase.
View original:
http://arxiv.org/abs/1201.6448
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