The Coincidence Problem in Holographic f(R) Gravity

Details The Coincidence Problem in Holographic f(R) Gravity The Coincidence Problem in Holographic f(R) Gravity

2011-10-15

arxiv.org/abs/1110.3422v1

Phys. Scr. 84, 035901 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figures

Scientific paper

It is well-known that $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. In this case, the scalar field couples with the matter sector and the coupling term is given by the conformal factor. We apply the holographic principle to such interacting models. In a spatially flat universe, we show that the Einstein frame representation of $f(R)$ models leads to a constant ratio of energy densities of dark matter to dark energy.

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