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 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).
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- March 2010
- DOI:
- 10.1209/0295-5075/89/50003
- 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
- E-Print:
- 6 pages, no figure, several statements clarified, references added