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Effects of a new extended uncertainty principle on Schwarzschild and Reissner–Nordström black holes thermodynamics

H. Hassanabadi, Won Sang Chung, B. C. Lütfüoğlu, E. Maghsoodi

2021International Journal of Modern Physics A25 citationsDOI

Abstract

In this paper, we employ a new form of the extended uncertainty principle to investigate the thermal properties of the Schwarzschild and Reissner–Nordström. After we construct the formalism, we obtain the mass-temperature function for the Schwarzschild black hole. We follow a heuristic method to derive the entropy function after we obtained the heat capacity function. Then, we derive the mass-temperature and mass-charge-temperature functions of the Reissner–Nordström black hole in the new formalism. After we obtain the heat capacity and entropy functions, we present a comprehensive and comparative analysis of all these functions. We find that the deformation parameter changes drastically some of the thermodynamic function characteristics.

Topics & Concepts

PhysicsSchwarzschild radiusEntropy (arrow of time)Heat capacitySchwarzschild metricFormalism (music)Black hole (networking)Black hole thermodynamicsThermodynamicsClassical mechanicsMathematical physicsGravitationGeneral relativityRouting (electronic design automation)Computer networkComputer scienceArtVisual artsMusicalLink-state routing protocolRouting protocolBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories
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