Maximal symmetry and metric-affine f(R) gravity

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dc.creatorMultamäki, Tuomas
dc.creatorVainio, Jaakko
dc.creatorVilja, Iiro
dc.date2008-05-13
dc.date.accessioned2026-07-07T12:54:01Z
dc.date.available2026-07-07T12:54:01Z
dc.descriptionThe 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.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0805.1834
dc.identifierhttp://arxiv.org/abs/0805.1834
dc.identifierClass.Quant.Grav.26:075005,2009
dc.identifierdoi:10.1088/0264-9381/26/7/075005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223786
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleMaximal symmetry and metric-affine f(R) gravity
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