Equivalence of the modified gravity equation to the Clausius relation
Abstract
We explicitly show that the equations of motion for modified gravity theories of F(R)gravity, the scalar GaussBonnet gravity, F(\mathcal{G} )gravity and the nonlocal 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).
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 March 2010
 DOI:
 10.1209/02955075/89/50003
 arXiv:
 arXiv:0909.4397
 Bibcode:
 2010EL.....8950003B
 Keywords:

 High Energy Physics  Theory;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 6 pages, no figure, several statements clarified, references added