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

2014/11/04 by Meng-Sen Ma, Ren Zhao · 111 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #First law #First law of thermodynamics #Geometry #Gravitational collapse #Noncommutative and Quantum Gravity Theories #Physics #Tensor (intrinsic definition) #Theoretical physics #Thermodynamics #White hole #gr-qc

paper · pdf · doi:10.1088/0264-9381/31/24/245014

published in Classical and Quantum Gravity 31(24), 245014 (IOP Publishing) · 11 pages, no figures, to be published in Classical and Quantum Gravity

arxiv created 2014/11/04 · openalex publication_date 2014/11/28 · arxiv updated 2015/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Entropy and energy of a class of spacetimes with horizon: a general derivation
• Non-commutative geometry inspired charged black holes
• The four laws of black hole mechanics
• Vacuum nonsingular black hole
• Thermodynamics of Spacetime: The Einstein Equation of State
• The Thermodynamics of Black Holes
• Noncommutative geometry inspired Schwarzschild black hole
• Particle creation by black holes
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core

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