Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow

Abstract

In this manuscript, we investigate the thermal properties of the rotating charged BTZ black hole under the gravity's rainbow (GR) and generalized uncertainty principle (GUP) formalism. At first, we study the GR-corrected thermal quantities according to the usual Heisenberg algebra. Then, we consider a deformed algebra that leads to a change in the Heisenberg uncertainty principle and compare the Hawking temperature, entropy, thermodynamical volume, pressure, and heat capacity functions with the previous results. Thus, we understand and interpret the quantum effects on the BTZ black hole.

arXiv comment12 Figures, Typos have been fixed. Missing references and information have been fixed

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• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
• Charged rotating BTZ solution revisited: New coordinates and algebraic classifications
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