https://doi.org/10.1140/epjc/s10052-020-8366-z
Letter
Thermal features of Barrow corrected-entropy black hole formulation
1
Departamento de Física, Universidade Federal Rural do Rio de Janeiro, Seropédica, RJ, 23890-971, Brazil
2
Departamento de Física, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, 36036-330, Brazil
3
Programa de Pós-Graduação Interdisciplinar em Física Aplicada, Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, 21941-972, Brazil
* e-mail: evertonabreu@ufrrj.br
Received:
19
June
2020
Accepted:
16
August
2020
Published online:
26
August
2020
Through the last years, it was demonstrated that quantum corrections of entropy, represented by logarithmic and power law corrections terms, constituted an association between semi-classical entropic areas and the curvature correction in Einstein–Hilbert’s Lagrangian and vice-versa. Loop quantum gravity approach provided the logarithmic corrections, which arises from quantum and thermal equilibrium fluctuations. On the other hand, Barrow’s entropy was introduced from the fact that the black hole surface can be modified due to quantum gravitational effects. The new exponent 
that appears in Barrow’s entropy is a measure of this perturbation. In this letter we have analyzed the thermodynamical effects of the quantum fluctuations upon the geometry of a Barrow’s black hole. We demonstrated that new formulations of the equipartition law, which corresponds to the horizon energy, can be constructed from both entropic formalisms. Besides, we have calculated the heat capacity for both formulations and we discussed their thermal viability. We have also establish a condition on one of the constant pre-factors of the logarithmic correction.
© The Author(s), 2020
