Thermodynamics of scale-dependent Friedmann equations
Pedro Bargueño (Departamento de Física Aplicada, Universidad de Alicante, Campus de San Vicente del Raspeig, Alicante, 03690, Spain); Ernesto Contreras (Departamento de Física, Colegio de Ciencias e Ingeniería, Universidad San Francisco de Quito, Quito, Ecuador); Ángel Rincón (Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla, Valparaiso, 4059, Chile)
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.