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By applying the Palatini approach to the 1/R-gravity model it is possible toexplain the present accelerated expansion of the Universe. Investigation of thelate Universe limiting case shows that: (i) due to the curvature effects theenergy-momentum tensor of the matter field is not covariantly conserved; (ii)however, it is possible to reinterpret the curvature corrections as sources ofthe gravitational field, by defining a modified energy-momentum tensor; (iii)with the adoption of this modified energy-momentum tensor the Einstein's fieldequations are recovered with two main modifications: the first one is theweakening of the gravitational effects of matter whereas the second is theemergence of an effective varying "cosmological constant"; (iv) there is atransition in the evolution of the cosmic scale factor from a power-law scaling$a\propto t^{11/18}$ to an asymptotically exponential scaling $a\propto\exp(t)$; (v) the energy density of the matter field scales as $\rho_m\propto(1/a)^{36/11}$; (vi) the present age of the Universe and thedecelerated-accelerated transition redshift are smaller than the correspondingones in the $\Lambda$CDM model.Comment: 5 pages and 2 figures. Accepted in PR

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Palatini approach to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>R</mml:mi></mml:math>gravity and its implications to the late universe

Palatini approach to1/Rgravity and its implications to the late universe