Born-Infeld-like modified gravity

Details Born-Infeld-like modified gravity Born-Infeld-like modified gravity

2012-02-22

arxiv.org/abs/1202.4807v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Rev.Tex, 5 pages, one figure, typos corrected, expanded version, new sections and references added

Scientific paper

A modified theory of gravity with the function $F(R) = (1-\sqrt{1-2\lambda R})/\lambda$ is suggested and analyzed. At small value of the parameter $\lambda$ introduced the action is converted into Einstein$-$Hilbert action. The theory is consistent with local tests which gives a bound on the value of the parameter $\lambda\leq 2\times 10^{-6}$ cm$^2$. We have considered the Jordan frame as well as the Einstein frame in which the potential of the scalar field was obtained. The static Schwarzschild$-$de Sitter solutions of the model are obtained and analyzed. It was demonstrated that the de Sitter space is unstable but a solution with zero Ricci scalar is stable. We show that there is not matter instability in the model suggested.

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