TY  - JOUR
AU  - Araujo Filho, A. A.
PY  - 2023
DA  - 2023//
TI  - Thermodynamics of massless particles in curved spacetime
T2  - Int. J. Geom. Methods Mod. Phys.
JO  - International Journal of Geometric Methods in Modern Physics
SP  - 2350226
EP  - 40pp
VL  - 12
IS  - 13
PB  - World Scientific Publ Co Pte Ltd
KW  - Einstein-aether
KW  - thermodynamic properties
KW  - curved spacetime
AB  - This work is devoted to study the behavior of massless particles within the context of curved spacetime. In essence, we investigate the consequences of the scale factor C(?) of the Friedmann-Robertson-Walker metric in the Einstein-aether formalism to study photon-like particles. To do so, we consider the system within the canonical ensemble formalism in order to derive the following thermodynamic state quantities: spectral radiance, Helmholtz free energy, pressure, entropy, mean energy and the heat capacity. Moreover, the correction to the Stefan-Boltzmann law and the equation of states are also provided. Particularly, we separate our study within three distinct cases, i.e. s = 0, p = 0; s = 1, p = 1; s = 2, p = 1. In the first one, the results are derived numerically. Nevertheless, for the rest of the cases, all the calculations are accomplished analytically showing explicitly the dependence of the scale factor C(?) and the Riemann zeta function ?(s). Furthermore, our analyses are accomplished in general taking into account three different regimes of temperature of the universe, i.e. the inflationary era (T = 10(13)GeV), the electroweak epoch (T = 10(3)GeV) and the cosmic microwave background (T = 10(-13)GeV).
SN  - 0219-8878
UR  - https://arxiv.org/abs/2201.00066
UR  - https://doi.org/10.1142/S0219887823502262
DO  - 10.1142/S0219887823502262
LA  - English
N1  - WOS:001048378900001
ID  - AraujoFilho2023
ER  -