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.

23 pages, major revision, Published in EPJC

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• Regular black holes: A short topic review
• Regular black holes and the first law of black hole mechanics
• Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies
• A regular black hole as the final state of evolution of a singular black hole
• On Black Hole Thermodynamics, Singularity, and Gravitational Entropy
• Regular black holes with improved energy conditions and their analogues in fluids
• The Repulsive Effect of Covariant Effective Quantum Gravity