Thermodynamics of scale-dependent Friedmann equations

In this work, the role of a time-varying Newton constant under the scale-dependent approach is investigated in the thermodynamics of the Friedman equations. In particular, we show that the extended Friedman equations can be derived either from equilibrium thermodynamics when the non-matter energy momentum tensor is interpreted as a fluid or from non-equilibrium thermodynamics when an entropy production term, which depends on the time-varying Newton constant, is included. Finally, a comparison between black hole and cosmological thermodynamics in the framework of scale-dependent gravity is briefly discussed.

Automated summary

The role of a time-varying Newton constant in the thermodynamics of Friedman equations under the scale-dependent approach is investigated, showing that the extended Friedman equations can be derived from equilibrium or non-equilibrium thermodynamics. A comparison between black hole and cosmological thermodynamics in the framework of scale-dependent gravity is briefly discussed.