Quantum-statistical constraints restrict the infinite family of KadS thermodynamic descriptions to a subclass that reduces to Schwarzschild-AdS and Kerr cases in appropriate limits, with uniqueness for co-rotating and volume-coincident descriptions.
Thermodynamics of Large AdS Black Holes
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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.
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gr-qc 1years
2026 1verdicts
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Quantum-statistical constraints on Kerr-anti-de Sitter thermodynamics
Quantum-statistical constraints restrict the infinite family of KadS thermodynamic descriptions to a subclass that reduces to Schwarzschild-AdS and Kerr cases in appropriate limits, with uniqueness for co-rotating and volume-coincident descriptions.