Phase transition and entropy inequality of noncommutative black holes in a new extended phase space

Abstract

We analyze the thermodynamics of the noncommutative high-dimensional Schwarzschild-Tangherlini AdS black hole with the non-Gaussian smeared matter distribution by regarding a noncommutative parameter as an independent thermodynamic variable named as the noncommutative pressure. In the new extended phase space that includes this noncommutative pressure and its conjugate variable, we reveal that the noncommutative pressure and the original thermodynamic pressure related to the negative cosmological constant make the opposite effects in the phase transition of the noncommutative black hole, i.e. the former dominates the UV regime while the latter does the IR regime, respectively. In addition, by means of the reverse isoperimetric inequality, we indicate that only the black hole with the Gaussian smeared matter distribution holds the maximum entropy for a given thermodynamic volume among the noncommutative black holes with various matter distributions.

v1: 13 pages, 2 figures; v2: 14 pages, clarifications and references added; v3: 16 pages, more clarifications and references added, the final version to appear in JCAP

References in corpus (12)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Noncommutative geometry inspired charged black holes
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Non-commutative geometry inspired higher-dimensional charged, black holes
• Noncommutative Inspired Black Holes in Extra Dimensions
• Regular black hole in three dimensions
• Smeared Hairs and Black Holes in Three-Dimensional de Sitter Spacetime
• Vacuum energy and the latent heat of AdS-Kerr black holes
• Thermodynamics of the Schwarzschild-AdS black hole with a minimal length
• Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions
• Dynamically self-regular quantum harmonic black holes
• Self-regular black holes quantized by means of an analogue to hydrogen atoms

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