Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordström black hole

Abstract

We study thermodynamic quantities and examine the stability of a black hole in a cavity inspired by the noncommutative geometry. It turns out that thermodynamic behavior of the noncommutative black hole is analogous to that of the Reissner-Nordström black hole in the near extremal limit. Moreover, we identify the noncommutative parameter with the squared electric charge with some constants.

10 pages, 6 figures

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• Bound States Of Strings And $p$-Branes
• Noncommutative geometry inspired Schwarzschild black hole
• Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
• Feynman Path Integral on the Noncommutative Plane
• Noncommutative geometry inspired charged black holes
• UV divergence-free QFT on noncommutative plane
• Black hole thermodynamics with generalized uncertainty principle
• Quantum Cooling Evaporation Process in Regular Black Holes
• Noncommutative open strings from Dirac quantization

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• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
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• The thermodynamic quantities of a black hole with an $f(R)$ global monopole
• Noncommutative geometry inspired Einstein-Gauss-Bonnet black holes
• Smeared Hairs and Black Holes in Three-Dimensional de Sitter Spacetime
• Noncommutative correction to the entropy of Schwarzschild black hole with GUP
• Probing spacetime noncommutative constant via charged astrophysical black hole lensing
• Holographic thermalization in noncommutative geometry
• Phantom RN-AdS black holes in noncommutative space
• Gravitational Collapse of the Shells with the Smeared Gravitational Source in Noncommutative Geometry
• Thermodynamic phase transition based on the non-singular temperature
• Analogy between the Schwarzschild solution in a noncommutative gauge theory and the Reissner-Nordström metric
• Local thermodynamics of KS black hole
• The description of phase transition in a black hole with conformal anomaly in the Ehrenfest's scheme
• Superradiance scattering of scalar, electromagnetic, and gravitational fields and thin accretion disk around non-commutating Kerr black hole
• Extremal noncommutative black holes as dark matter furnaces
• Vanishing Compactness Gap and Fermionic Compact Dark Matter in Hořava-Lifshitz Gravity