English

General class of "quantum deformed" regular black holes

General Relativity and Quantum Cosmology 2021-02-05 v1 High Energy Physics - Theory

Abstract

We discuss the "quantum deformed Schwarzschild spacetime" as originally introduced by Kazakov and Solodukhin in 1993, and investigate the precise sense in which it does and does not satisfy the desiderata for being a "regular black hole". We shall carefully distinguish (i) regularity of the metric components, (ii) regularity of the Christoffel components, and (iii) regularity of the curvature. We shall then embed the Kazakov-Solodukhin spacetime in a more general framework where these notions are clearly and cleanly separated. Finally we analyze aspects of the classical physics of these "quantum deformed Schwarzschild spacetimes". We shall discuss the surface gravity, the classical energy conditions, null and timelike geodesics, and the appropriate variant of Regge--Wheeler equation.

Keywords

Cite

@article{arxiv.2102.02471,
  title  = {General class of "quantum deformed" regular black holes},
  author = {Thomas Berry and Alex Simpson and Matt Visser},
  journal= {arXiv preprint arXiv:2102.02471},
  year   = {2021}
}

Comments

32 pages; 1 figure; 2 tables

R2 v1 2026-06-23T22:49:36.323Z