Time-dependent matter instability and star singularity in $F(R)$ gravity

Details Time-dependent matter instability and star singularity in $F(R)$ gravity Time-dependent matter instability and star singularity in $F(R)$ gravity

2011-01-14

arxiv.org/abs/1101.2820v2

Phys.Lett.B698:451-456,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 2 figures, version accepted for publication in Physics Letters B

Scientific paper

10.1016/j.physletb.2011.03.038

We investigate a curvature singularity appearing in the star collapse process in $F(R)$ gravity. In particular, we propose an understanding of the mechanism to produce the curvature singularity. Moreover, we explicitly demonstrate that $R^\alpha$ ($1 < \alpha \leq 2$) term addition could cure the curvature singularity and viable $F(R)$ gravity models could become free of such a singularity. Furthermore, we discuss the realization process of the curvature singularity and estimate the time scale of its appearance. For exponential gravity, it is shown that in case of the star collapse, the time scale is much shorter than the age of the universe, whereas in cosmological circumstances, it is as long as the cosmological time.

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