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Thermodynamical behaviors of nonflat Brans-Dicke gravity with interacting new agegraphic dark energy. (English) Zbl 1284.83217

Summary: The dynamical behaviors of Brans-Dicke gravity with the interacting new agegraphic dark energy (NADE) model are studied in this paper. First of all, by considering the dark energy density \({\rho}_{\text{de}} = 3n^{2}{\Phi}{\eta}^{-2}\), the evolutions of the equation of state and the deceleration parameter can be described in the framework of Friedmann-Robertson-Walker universe. Moreover, the field equations of the Brans-Dicke gravity can be cast to the form of the first law of thermodynamics with the so-called entropy production term \(d\tilde{S}\). Furthermore, the generalized second law of thermodynamics can be given in nonflat Brans-Dicke gravity with the interacting NADE enclosed by the dynamical apparent horizon with Hawking temperature. Finally, when the interaction between NADE and dark matter is considered as a fluctuation around the thermal equilibrium, it can be written to a form of logarithmic correction, and the expression of the interaction term can be obtained.

MSC:

83F05 Relativistic cosmology
80A10 Classical and relativistic thermodynamics
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
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