The coincidence problem in holographicf(R) gravity

DOI10.1088/0031-8949/84/03/035901zbMATH Open1262.83056arXiv1110.3422OpenAlexW2036759051MaRDI QIDQ4911688

Y. Bisabr

Publication date: 20 March 2013

Published in: Physica Scripta (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1110.3422

zbMATH Keywords

holographiccoincidence problemspatially flat universeEinstein conformal frame

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15) Astrophysical cosmology (85A40)

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