The equivalence between metric and Palatini formalisms in f(R)-gravity can be achieved in the general context of theories with divergence-free current. This equivalence is a necessary result of a symmetry which is included in a particular conservation equation of the current. In fact the conservation equation, by an appropriate redefinition of the introduced auxiliary field, may be encoded in a massless scalar field equation. © 2011 World Scientific Publishing Company.
Equivalence between palatini and metric formalisms of f(R)-gravity by divergence-free current / Capozziello, S.; Darabi, F.; Vernieri, D.. - In: MODERN PHYSICS LETTERS A. - ISSN 0217-7323. - 26:1(2011), pp. 65-72. [10.1142/S021773231103458X]
Equivalence between palatini and metric formalisms of f(R)-gravity by divergence-free current
Capozziello S.;Vernieri D.
2011
Abstract
The equivalence between metric and Palatini formalisms in f(R)-gravity can be achieved in the general context of theories with divergence-free current. This equivalence is a necessary result of a symmetry which is included in a particular conservation equation of the current. In fact the conservation equation, by an appropriate redefinition of the introduced auxiliary field, may be encoded in a massless scalar field equation. © 2011 World Scientific Publishing Company.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.