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arXiv · hep-th/0005288

Note on Small Black Holes in AdS_p x S^q

Gary T. Horowitz·Veronika E. Hubeny
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Abstract

It is commonly believed that small black holes in AdS_5 x S^5 can be described by the ten dimensional Schwarzschild solution. This requires that the self-dual five-form (which is nonzero in the background) does not fall through the horizon and cause the black hole to grow. We verify that this is indeed the case: There are static solutions to the five-form field equations in a ten dimensional Schwarzschild spacetime. Similar results hold for other backgrounds AdS_p x S^q of interest in supergravity.

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Gary T. Horowitz, Veronika E. Hubeny. 2000-05-31. Note on Small Black Holes in AdS_p x S^q. https://doi.org/10.1088/1126-6708%2F2000%2F06%2F031

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