Correspondence between Jordan-Einstein frames and Palatini-metric formalisms

Details Correspondence between Jordan-Einstein frames and Palatini-metric formalisms Correspondence between Jordan-Einstein frames and Palatini-metric formalisms

2010-09-14

arxiv.org/abs/1009.2580v1

Mod.Phys.Lett.A25:3279-3289,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732310034456

We discuss the conformal symmetry between Jordan and Einstein frames considering their relations with the metric and Palatini formalisms for modified gravity. Appropriate conformal transformations are taken into account leading to the evident connection between the gravitational actions in the two mentioned frames and the Hilbert-Einstein action with a cosmological constant. We show that the apparent differences between Palatini and metric formalisms strictly depend on the representation while the number of degrees of freedom is preserved. This means that the dynamical content of both formalism is identical.

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