$f(R)$ theory and geometric origin of the dark sector in Horava-Lifshitz gravity

Details $f(R)$ theory and geometric origin of the dark sector in Horava-Lifshitz gravity $f(R)$ theory and geometric origin of the dark sector in Horava-Lifshitz gravity

2010-03-26

arxiv.org/abs/1003.5152v3

Mod.Phys.Lett.A26:387-398,2011

Physics

High Energy Physics

High Energy Physics - Theory

Mod. Phys. Lett. A26, 387-398 (2011)

Scientific paper

10.1142/S0217732311034980

Inclusion of $f(R)$ term in the action of Horava-Lifshitz quantum gravity with projectability but without detailed balance condition is investigated, where $R$ denotes the 3-spatial dimensional Ricci scalar. Conditions for the spin-0 graviton to be free of ghosts and instability are studied. The requirement that the theory reduce to general relativity in the IR makes the scalar mode unstable in the Minkowski background but stable in the de Sitter. It is remarkable that the dark sector, dark matter and dark energy, of the universe has a naturally geometric origin in such a setup. Bouncing universes can also be constructed. Scalar perturbations in the FRW backgrounds with non-zero curvature are presented.

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