Equivalence of the modified gravity equation to the Clausius relation

2009/09/30 by Kazuharu Bamba, Chao-Qiang Geng, Shin'ichi Nojiri +1 · 118 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropic gravity #Entropy (arrow of time) #Equivalence (formal languages) #Equivalence relation #Noncommutative and Quantum Gravity Theories #Relation (database) #astro-ph.CO #f(R) gravity #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1209/0295-5075/89/50003

published in Europhysics Letters (EPL) 89(5), 50003 (Institute of Physics) · 6 pages, no figure, several statements clarified, references added

arxiv created 2009/11/16 · openalex publication_date 2010/03/01 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We explicitly show that the equations of motion for modified gravity theories of F ( R )-gravity, the scalar Gauss-Bonnet gravity, F( )-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).

Citations

• The four laws of black hole mechanics
• Thermodynamics of Spacetime: The Einstein Equation of State
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Particle creation by black holes
• Some properties of the Noether charge and a proposal for dynamical black hole entropy
• Black Holes and Entropy
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY

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