On the Gravitational Thermodynamics in the FLRW Universe.
Gravitational Thermodynamics.
The Friedmann-Lemaître-Robertson-Walker (FLRW) solution is the suggestion of a metric applicable to Einstein's equations and that describes an isotropic and homogeneous universe that may be expanding or contracting in an accelerated way. Recent observational data suggests that the present universe is approximately flat and that it is expanding accelerated. In this work, in the context of the Teleparallelism Equivalent of General Relativity (TEGR), we will try to understand the cause on which the universe, based in the FLRW model, is expanding in an accelerated way. We also present a relation to the first law of thermodynamics to the apparent horizon of the FLRW model, and from this relation we will obtain a expression to the temperature at the apparent horizon. And, based on a model of a primordial and empty universe where the Weyl quantization procedure is applied, obtaining values for the energy discretization, a study of the thermodynamics of this system will be carried out with the properties of a canonical ensemble.