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f(R) gravity with torsion: the metric-affine approach

S Capozziello1, R Cianci2, C Stornaiolo1 and S Vignolo2

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The role of torsion in f(R) gravity is considered in the framework of metric-affine formalism. We discuss the field equations in empty space and in the presence of perfect fluid matter, taking into account the analogy with the Palatini formalism. As a result, the extra curvature and torsion degrees of freedom can be dealt as an effective scalar field of a fully geometric origin. From a cosmological point of view, such a geometric description could account for the whole dark side of the universe.


PACS

04.20.Cv Fundamental problems and general formalism

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

95.30.Sf Relativity and gravitation

MSC

83F05 Cosmology

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 24 (21 December 2007)

Received 22 August 2007, in final form 15 October 2007

Published 29 November 2007



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