Corrected form of the first law of thermodynamics for regular black holes

Abstract

We show by explicit computations that there is a superficial inconsistency between the conventional first law of black hole thermodynamics and Bekenstein-Hawking area law for three types of regular black holes. The corrected form of the first law for these regular black holes is given. The derivation relies on the general structure of the energy-momentum tensor of the matter fields. When the black hole mass parameter $M$ is included in the energy-momentum tensor, the conventional form of the first law should be modified with an extra factor. In this case, the black hole mass $M$ can no longer be considered as the internal energy of the regular black holes.

11 pages, no figures, to be published in Classical and Quantum Gravity

References in corpus (9)

• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Noncommutative geometry inspired charged black holes
• Noncommutative Black Hole Thermodynamics
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• Noncommutative Schwarzschild Black Hole and Area Law
• Thermodynamics of regular black hole
• Black hole entropy in modified gravity models
• Regular black hole in three dimensions
• Thermodynamics in Modified Gravity Theories