Equivalence of modified gravity equation to the Clausius relation

Kazuharu Bamba; Chao-Qiang Geng; Shin'ichi Nojiri; Sergei D. Odintsov

doi:10.1209/0295-5075/89/50003

Equivalence of modified gravity equation to the Clausius relation

High Energy Physics - Theory 2015-05-14 v2 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Authors: Kazuharu Bamba , Chao-Qiang Geng , Shin'ichi Nojiri , Sergei D. Odintsov

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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).

Keywords

modified gravity Clausius relation thermodynamics F(R) gravity scalar-Gauss-Bonnet gravity F(G) gravity non-local gravity entropy

Cite

@article{arxiv.0909.4397,
  title  = {Equivalence of modified gravity equation to the Clausius relation},
  author = {Kazuharu Bamba and Chao-Qiang Geng and Shin'ichi Nojiri and Sergei D. Odintsov},
  journal= {arXiv preprint arXiv:0909.4397},
  year   = {2015}
}

Comments

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

Equivalence of modified gravity equation to the Clausius relation

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