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f(R) GRAVITY WITH TORSION: A GEOMETRIC APPROACH WITHIN THE -BUNDLES FRAMEWORK

S. CAPOZZIELLO

Dipartimento di Scienze Fisiche, Università "Federico II" di Napoli, Italy

INFN Sez. di Napoli, Compl. Univ. Monte S. Angelo Ed. N, via Cinthia, I - 80126 Napoli, Italy

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R. CIANCI

DIPTEM Sez. Metodi e Modelli Matematici, Università di Genova, Piazzale Kennedy, Pad. D - 16129 Genova, Italy

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C. STORNAIOLO

INFN Sez. di Napoli, Compl. Univ. Monte S. Angelo Ed. N, via Cinthia, I - 80126 Napoli, Italy

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, and

S. VIGNOLO

DIPTEM Sez. Metodi e Modelli Matematici, Università di Genova, Piazzale Kennedy, Pad. D - 16129 Genova, Italy

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https://doi.org/10.1142/S0219887808003053Cited by:38 (Source: Crossref)

Abstract

We discuss the f(R)-theories of gravity with torsion in the framework of -bundles. Such an approach is particularly useful since the components of the torsion and curvature tensors can be chosen as fiber -coordinates on the bundles and then the symmetries and the conservation laws of the theory can be easily achieved. Field equations of f(R)-gravity are studied in empty space and in presence of various forms of matter as Dirac fields, Yang–Mills fields and spin perfect fluid. Such fields enlarge the jet bundles framework and characterize the dynamics. Finally we give some cosmological applications and discuss the relations between f(R)-gravity and scalar-tensor theories.

Keywords:

AMSC: 04.50.+h, 02.40.-k, 04.60.-m

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