Reconstructing the f(R) gravity from the holographic principle

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, 1 figure, to appear in special volume Problems of Modern Cosmology, TSPU publishing

Scientific paper

An holographic f(R) gravity model of dark energy is proposed. The correspondence between the f(R) geometrical effective energy density with the holographic density, allows the reconstruction of the f(R) gravity in flat FRW background in the Einstein frame. The proposed infrared cut-off for the holographic energy density depends on two parameters which are fit using the luminosity versus redshift data, allowing a suitable reconstruction in two representative cases of the EoS parameter: for $\omega>-1$ and $\omega<-1$.

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