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

Abstract

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.

12 pages, no figure, minor corrections

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• Inflationary models with non-minimally derivative coupling
• Phase transition of charged black holes in massive gravity through new methods
• PPN parameters in gravitational theory with nonminimally derivative coupling
• Off-shell Noether current and conserved charge in Horndeski theory
• Linearized modified gravity theories and gravitational waves physics in the GBD theory
• The Reconstruction of Non-Minimal Derivative Coupling Inflationary Potentials
• Late time evolution of a nonminimally coupled scalar field system
• Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling
• Derivative coupling of inflaton to $R^{(3)}$