Gliner vacuum, self-consistent theory of Ruppeiner geometry for regular black holes

Abstract

In the view of the Gliner vacuum, we remove the deformations in the first law of mechanics for regular black holes, where one part of deformations associated with black hole mass will be absorbed into enthalpy or internal energy, and the other part associated with parameters rather than mass will constitute a natural V–P term. The improved first law of mechanics redisplays its resemblance to the first law of thermodynamic systems, which implies a restored correspondence of the mechanic variables to the thermodynamic ones. In particular, the linear relation between the entropy and horizon area remains unchanged for regular black holes. Based on the modified first law of thermodynamics, we establish a self-consistent theory of Ruppeiner geometry and obtain a universal attractive property for the microstructure of regular black holes. In addition, the repulsive and attractive interactions inside and outside regular black holes are analyzed in detail.

Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies

“…Ref. [20] suggested that dM in the first law needs a coefficient that is not always equal to 1, which is followed up by many authors [10,[20][21][22][23] and leads to a very different form of the first law and Smarr formula. Such modifications suffer the problems of parameter non-independence [11,[24][25][26] and non-extensiveness.…”

Regular black holes with improved energy conditions and their analogues in fluids*

“…Moreover, these parameters must appear in σ via the combinations , which are also dimensionless. If every combination includes a non-zero , we can reduce one parameter and obtain independent dimensionless parameters by following the Buckingham π theorem [32].…”

Dymnikova GUP-corrected black holes

“…However, the objective of the present manuscript is to study black holes. It is worth mentioning that in reference [70], the radial pressure of the Gliner vacuum at the event horizon (given by p r | r=r h = −ρ| r=r h , where the energy density corresponds to the pure Dymnikova case, equation (2.2), is related with the thermodynamics pressure of the black hole, which leads to a version of the first law of thermodynamics for RBHs. Following this approach, but relating the GUP corrected energy density (2.7) with the thermodynamic pressure, the structure of the first law of thermodynamics using α as a thermodynamics variable will be explored in a separate publication.…”