Topological approach to derive the global Hawking temperature of (massive) BTZ black hole
Yu‐Peng Zhang, Shao-Wen Wei, Yu-Xiao Liu
Abstract
In this paper, we study the Hawking temperature of the BTZ black hole based on the purely topological method proposed by Robson, Villari, and Biancalana (RVB) [Phys. Rev. D 99, 044042 (2019)]. The Hawking temperature of the charged rotating BTZ black hole can be accurately derived by this topological method. We also calculate the Hawking temperature of the BTZ black hole in massive gravity. Because the metric function of the BTZ black hole in massive gravity has a mass term, the corresponding Hawking temperature cannot be derived unless an integral constant is added.
Topics & Concepts
BTZ black holePhysicsBlack hole (networking)HawkingExtremal black holeHawking radiationBlack hole thermodynamicsMicro black holeCharged black holeMathematical physicsQuantum electrodynamicsTopology (electrical circuits)Quantum mechanicsEntropy (arrow of time)MathematicsRouting protocolComputer scienceCombinatoricsRouting (electronic design automation)Computer networkLink-state routing protocolBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories