Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling

2016/01/31 by Yumei Huang, YuMei Huang, Yungui Gong +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Equivalence (formal languages) #Extended irreversible thermodynamics #First law of thermodynamics #Laws of thermodynamics #Non-equilibrium thermodynamics #Pulsars and Gravitational Waves Research #Scalar field #Second law of thermodynamics #Time derivative #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1007/s11433-016-5793-9

published as Sci. China-Phys. Mech. Astron. 59, 640402 (2016) · 10 pages, no figure, minor corrections, SCIENCE CHINA Physics,Mechanics & Astronomy in press

arxiv created 2016/02/02 · openalex publication_date 2016/02/22 · arxiv updated 2016/03/04 · openalex created_date 2017/04/07 · openalex updated_date 2026/08/05

Abstract

With the usual definitions for the entropy and the temperature associated with the apparent horizon, we discuss the first law of the thermodynamics on the apparent in the general scalar-tensor theory of gravity with the kinetic term of the scalar field non-minimally coupling to Einstein tensor. We show the equivalence between the first law of thermodynamics on the apparent horizon and Friedmann equation for the general models, by using a mass-like function which is equal to the Misner-Sharp mass on the apparent horizon. The results further support the universal relationship between the first law of thermodynamics and Friedmann equation.

Citations

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