Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current

Details Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current

2010-06-02

arxiv.org/abs/1006.0454v1

Mod.Phys.Lett.A26:65-72,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

10.1142/S021773231103458X

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.

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