Thermodynamics of charged black points in vacuum nonlinear electrodynamics
General Relativity and Quantum Cosmology
2025-09-03 v1 High Energy Astrophysical Phenomena
Abstract
The paper analyzes the thermodynamic properties of a special state of charged black holes, in which the event horizon becomes point-like and coincides with the singularity. It is shown that for such states, called black points, in contrast to Reissner-Nordstr\"{o}m black holes, the third law of thermodynamics in Planck's formulation is fulfilled. It is also shown that the formation of a black point is not a first-order phase transition. Considerable attention is paid to the special state of a black point with a doubly degenerate horizon, similar to the extreme state of a Reissner-Nordstr\"om black hole.
Keywords
Cite
@article{arxiv.2509.00473,
title = {Thermodynamics of charged black points in vacuum nonlinear electrodynamics},
author = {Vladimir Sokolov},
journal= {arXiv preprint arXiv:2509.00473},
year = {2025}
}