https://doi.org/10.1140/epjc/s10052-015-3574-7
Regular Article - Theoretical Physics
Thermodynamics of scalar–tensor theory with non-minimally derivative coupling
1
Department of Astronomy, Beijing Normal University, Beijing, 100875, China
2
MOE Key Laboratory of Fundamental Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China
3
School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China
* e-mail: yggong@mail.hust.edu.cn
Received:
6
April
2015
Accepted:
19
July
2015
Published online:
30
July
2015
With the usual definitions for the entropy and the temperature associated with the apparent horizon, we show that the unified first law on the apparent horizon is equivalent to the Friedmann equation for the scalar–tensor theory with non-minimally derivative coupling. The second law of thermodynamics on the apparent horizon is also satisfied. The results support a deep and fundamental connection between gravitation, thermodynamics, and quantum theory.
© SIF and Springer-Verlag Berlin Heidelberg, 2015