Thermodynamics of a class of regular black holes with a generalized uncertainty principle

TL;DR

This paper investigates the thermodynamics of a class of regular black holes, including Bardeen and Hayward types, incorporating quantum corrections from a generalized uncertainty principle, and finds they can be thermodynamically stable and colder than singular black holes.

Contribution

It introduces quantum-corrected thermodynamics for regular black holes using a generalized uncertainty principle, highlighting potential observable differences from singular black holes.

Findings

Regular black holes are colder than singular black holes.

Some regular black holes may be thermodynamically stable.

Quantum corrections add a logarithmic term to entropy.

Abstract

In this article, we present a study on thermodynamics of a class of regular black holes. Such a class includes Bardeen and Hayward regular black holes. We obtained thermodynamic quantities like the Hawking temperature, entropy, and heat capacity for the entire class. As part of an effort to indicate some physical observable to distinguish regular black holes from singular black holes, we suggest that regular black holes are colder than singular black holes. Besides, contrary to the Schwarzschild black hole, that class of regular black holes may be thermodynamically stable. From a generalized uncertainty principle, we also obtained the quantum-corrected thermodynamics for the studied class. Such quantum corrections provide a logarithmic term for the quantum-corrected entropy.