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

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

2011-08-30

arxiv.org/abs/1108.5908v1

Phys.Lett.B703:223-227,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages

Scientific paper

10.1016/j.physletb.2011.07.087

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

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