Equivalence of modified gravity equation to the Clausius relation
Bamba, Kazuharu · Geng, Chao-Qiang · Nojiri, Shin'ichi · Odintsov, Sergei D.
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Original · EN
We explicitly show that the equations of motion for modified gravity theories of F(R)-gravity, the scalar-Gauss-Bonnet gravity, F(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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