Thermodynamics of Large AdS Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, 1 figure, v2. added references

Scientific paper

10.1088/1126-6708/2007/11/086

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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