Maximal symmetry and metric-affine f(R) gravity

Details Maximal symmetry and metric-affine f(R) gravity Maximal symmetry and metric-affine f(R) gravity

2008-05-13

arxiv.org/abs/0805.1834v1

Class.Quant.Grav.26:075005,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

10.1088/0264-9381/26/7/075005

The affine connection in a space-time with a maximally symmetric spatial subspace is derived using the properties of maximally symmetric tensors. The number of degrees of freedom in metric-affine gravity is thereby considerably reduced while the theory allows spatio-temporal torsion and remains non-metric. The Ricci tensor and scalar are calculated in terms of the connection and the field equations derived for the Einstein-Hilbert as wells as for f(R) Lagrangians. By considering specific forms of f(R), we demonstrate that the resulting Friedmann equations in Palatini formalism without torsion and metric-affine formalism with maximal symmetry are in general different in the presence of matter.

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