Phase transition of quantum corrected Schwarzschild black hole

Abstract

We study the thermodynamic phase transition of a quantum-corrected Schwarzschild black hole. The modified metric affects the critical temperature which is slightly less than the conventional one. The space without black holes is not the hot flat space but the hot curved space due to vacuum fluctuations so that there appears a type of Gross-Perry-Yaffe phase transition even for the very small size of black hole, which is impossible for the thermodynamics of the conventional Schwarzschild black hole. We discuss physical consequences of the new phase transition in this framework.

12 pages, 4 figures, added : version accepted for publication in PLB

References in corpus (13)

• Black Hole Entropy is Noether Charge
• Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
• Quantum Tunneling Beyond Semiclassical Approximation
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• On Quantum Deformation of the Schwarzschild Solution
• Scalar-Tensor Quantum Gravity in Two Dimensions
• Information Consumption by Reissner-Nordstrom Black Holes
• Thermodynamics of phantom black holes in Einstein-Maxwell-Dilaton theory
• Thermodynamics of phantom Reissner-Nordstrom-AdS black hole
• Hawking radiation of linear dilaton black holes
• Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordström black hole
• Thermodynamics of black plane solution
• Notes on Black Hole Phase Transitions

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