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arXiv · 1108.5908

The stability of the Einstein static state in $f(T)$ gravity

Puxun Wu·Hongwei Yu
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Abstract

The stability of the Einstein static universe against the homogeneous scalar perturbations in $f(T)$ gravity is analyzed. Both the spatial closed and open universes are considered. We find that the stable Einstein static solutions exist in both cases. Considering a concrete $f(T)$ model and assuming that the cosmic energy has a constant equation of state $w$, we obtain that, in the closed case, $w<1/3$ is required. Thus, $f(T)$ theory gives a larger region of $w$ than that in general relativity ($-1<w<-1/3$) to have the stable Einstein static solution. For the open universe, $f(T)$ theory allows the stable Einstein static solution, although this kind of solution is forbidden in general relativity. Thus, a modification of gravity can play a crucial role in stabilizing the Einstein static solution.

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Puxun Wu, Hongwei Yu. 2011-08-30. The stability of the Einstein static state in $f(T)$ gravity. https://doi.org/10.1016/j.physletb.2011.07.087

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