Equivalence of the modified gravity equation to the Clausius relation

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Published 18 March 2010 Europhysics Letters Association
, , Citation Kazuharu Bamba et al 2010 EPL 89 50003 DOI 10.1209/0295-5075/89/50003

0295-5075/89/5/50003

Abstract

We explicitly show that the equations of motion for modified gravity theories of F(R)-gravity, the scalar Gauss-Bonnet gravity, F()-gravity and the non-local gravity are equivalent to the Clausius relation in thermodynamics. In addition, we discuss the relation between the expression of the entropy and the contribution from the modified gravity as well as the matter to the definition of the energy flux (heat).

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10.1209/0295-5075/89/50003