Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2012-01-10
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, 2 figures
Scientific paper
The cosmological consequences of the f(R) gravity are reviewed in the framework of recent data obtained by PAMELA (Payload for Antimatter Matter Exploration and Light-nuclei Astrophysics) experiment. This collaboration has reported an excess of positron events that cannot be explained by conventional cosmology and particle physics, and are usually ascribed to the dark matter presence (in particular, weak interacting massive particles). The dark matter interpretation of PAMELA data has motivated the study of alternative cosmological models (with respect to the standard cosmology) owing to the fact that they predict an enhancement of the Hubble expansion rate, giving rise in such a way to thermal relics with a larger relic abundance. In this paper we face this problem for f(R) gravity models assuming a power law correction to the standard action of General Relativity, i.e. f(R) = R + \alpha R^n. In the regime in which the energy density induced by (higher order) curvature terms are greater than (or of the order of) the energy density of standard radiation, we find that the exponent n must assume values n > 1. In the opposite regime, taking into account the constraints provided by big bang nucleosynthesis, we get n < 1 + 2 \times 10^-3. The latter bound excludes the model f(R) = R + \alpha R^2. Our analysis shows that the considered model allows to explain the PAMELA puzzle for dark matter relic particles with masses greater or lesser than 10^2 GeV.
Capozziello Salvatore
Lambiase Gaetano
Laurentis Mariafelicia de
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