Noncommutative correction to the entropy of BTZ black hole with GUP

Abstract

We investigate the effect of noncommutativity and quantum corrections to the temperature and entropy of a BTZ black hole based on a Lorentzian distribution with the generalized uncertainty principle (GUP). To determine the Hawking radiation in the tunneling formalism we apply the Hamilton-Jacobi method by using the Wentzel-Kramers-Brillouin (WKB) approach. In the present study we have obtained logarithmic corrections to entropy due to the effect of noncommutativity and GUP. We also address the issue concerning stability of the non-commutative BTZ black hole by investigating its modified specific heat capacity.

arXiv comment12 pages, 2 figures; published version in AHEP

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• Noncommutative correction to the entropy of Schwarzschild black hole with GUP
• EUP-corrected thermodynamics of BTZ black hole
• The generalized uncertainty principle effect in acoustic black holes
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Constructing noncommutative black holes
• Hawking radiation and entropy of a BTZ black hole with minimum length
• Thin-shell gravastar in a noncommutative BTZ geometry
• Quantum Gravity Constraints on Fine Structure Constant from GUP in Braneworlds
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• Quantum tunneling driven by quintessence and the role of GUP
• Van der Waals black holes in rainbow gravity
• Shadow of a Noncommutative Thin-Shell Gravastar