Equivalence of modified gravity equation to the Clausius relation

Details Equivalence of modified gravity equation to the Clausius relation Equivalence of modified gravity equation to the Clausius relation

2009-09-24

arxiv.org/abs/0909.4397v2

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figure, several statements clarified, references added

Scientific paper

We explicitly show that the equations of motion for modified gravity theories of $F(R)$-gravity, the scalar-Gauss-Bonnet gravity, $F(\mathcal{G})$-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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