We discuss the $f(R)$-theories of gravity with torsion in the framework of ${\cal J}$-bundles. Such an approach is particularly useful since the components of the torsion and curvature tensors can be chosen as fiber ${\cal J}$-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.

f(R)-gravity with torsion: a geometric approach within the J-bundles framework

CIANCI, ROBERTO;VIGNOLO, STEFANO
2008

Abstract

We discuss the $f(R)$-theories of gravity with torsion in the framework of ${\cal J}$-bundles. Such an approach is particularly useful since the components of the torsion and curvature tensors can be chosen as fiber ${\cal J}$-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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11567/276087
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 34
  • ???jsp.display-item.citation.isi??? 31
social impact