Thermodynamics of f(R) theories of gravity

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Published 25 June 2020 © 2020 IOP Publishing Ltd and Sissa Medialab
, , Citation C.D. Peralta and S.E. Jorás JCAP06(2020)053 DOI 10.1088/1475-7516/2020/06/053

1475-7516/2020/06/053

Abstract

This paper starts from a toy model for inflation in a class of modified theories of gravity in the metric formalism. Instead of the standard procedure—assuming a non-linear Lagrangian f(R) in the Jordan frame—we start from a simple ϕ2 potential in the Einstein frame and investigate the corresponding f(R) in the former picture. The addition of an ad-hoc Cosmological Constant in the Einstein frame leads to a Thermodynamical interpretation of this physical system, which allows further insight on its (meta)stability and evolution.

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10.1088/1475-7516/2020/06/053