Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity

Details Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity

2005-10-03

arxiv.org/abs/gr-qc/0510007v5

Class.Quant.Grav. 23 (2006) 2011-2020

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages; published version

Scientific paper

10.1088/0264-9381/23/6/011

We show that inflation and current cosmic acceleration can be generated by a metric-affine f(R) gravity formulated in the Einstein conformal frame, if the gravitational Lagrangian L(R) contains both positive and negative powers of the curvature scalar R. In this frame, we give the equations for the expansion of the homogeneous and isotropic matter-dominated universe in the case L(R)=R+{R^3}/{\beta^2}-{\alpha^2}/{3R}, where \alpha and \beta are constants. We also show that gravitational effects of matter in such a universe at very late stages of its expansion are weakened by a factor that tends to 3/4, and the energy density of matter \epsilon scales the same way as in the \Lambda-CDM model only when \kappa*\epsilon<<\alpha.

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