EQUIVALENCE BETWEEN PALATINI AND METRIC FORMALISMS OF f(R)-GRAVITY BY DIVERGENCE-FREE CURRENT-Reference-Cited by-同舟云学术

EQUIVALENCE BETWEEN PALATINI AND METRIC FORMALISMS OF f(R)-GRAVITY BY DIVERGENCE-FREE CURRENT

Published:2011-01-10 Issue:01 Volume:26 Page:65-72
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

CAPOZZIELLO SALVATORE¹²,DARABI FARHAD³⁴,VERNIERI DANIELE¹

Affiliation:

1. Dipartimento di Scienze Fisiche, Università di Napoli "Federico II", Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

2. INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

3. Department of Physics, Azarbaijan University of Tarbiat Moallem, Tabriz 53741-161, Iran

4. Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha 55134-441, Iran

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021773231103458X

Reference29 articles.

1. Extended theories of gravity and their cosmological and astrophysical applications

2. INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY

3. f(R)theories of gravity

4. f(R) Theories

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