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

2010/06/02 by Salvatore Capozziello, Salvatore Capozzıello, F. Darabi +3 · 2 citations
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1142/s021773231103458x

published as Mod.Phys.Lett.A26:65-72,2011 · 6 pages

arxiv created 2010/06/02 · openalex publication_date 2011/01/04 · arxiv updated 2011/01/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Extended theories of gravity and their cosmological and astrophysical applications
• Mach's Principle and a Relativistic Theory of Gravitation
• Quantum Fields in Curved Space
• Signature change, vacuum condensation and cosmological constant
• Duality, time-asymmetry and the condensation of vacuum
• Curvature Quintessence

Cited by

• Locally rotationally symmetric Bianchi type I cosmology in f(R, T) gravity
• A non-trivial connection for the metric-affine Gauss–Bonnet theory in D = 4