Thermodynamics of Large AdS Black Holes

Abstract

We consider leading order quantum corrections to the geometry of large AdS black holes in a spherical reduction of four-dimensional Einstein gravity with negative cosmological constant. The Hawking temperature grows without bound with increasing black hole mass, yet the semiclassical back-reaction on the geometry is relatively mild, indicating that observers in free fall outside a large AdS black hole never see thermal radiation at the Hawking temperature. The positive specific heat of large AdS black holes is a statement about the dual gauge theory rather than an observable property on the gravity side. Implications for string thermodynamics with an AdS infrared regulator are briefly discussed.

arXiv comment17 pages, 1 figure, v2. added references

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• Quantum Thermodynamics of an ${\alpha }^{\prime }$-Corrected Reissner-Nordström Black Hole
• Black holes from large N singlet models
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• A Hamiltonian approach for the Thermodynamics of AdS black holes
• Fragile Black Holes and an Angular Momentum Cutoff in Peripheral Heavy Ion Collisions
• A Note on Self-gravitating Radiation in AdS Spacetime
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Information Theoretical Approach to Detecting Quantum Gravitational Corrections
• Holographic Screening Length in a Hot Plasma of Two Sphere
• Thermodynamics of bosonic systems in adS spacetime
• Thermodynamics of AdS planar black holes and holography
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• Stable remnants and quantum gravity effects in non linear electric source Culetu black hole
• A domain wall bound on anti-de Sitter vacua
• Hawking atmosphere of anti-de Sitter black holes