Note on Small Black Holes in AdS_p x S^q

Details Note on Small Black Holes in AdS_p x S^q Note on Small Black Holes in AdS_p x S^q

2000-05-31

arxiv.org/abs/hep-th/0005288v1

JHEP 0006 (2000) 031

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure

Scientific paper

10.1088/1126-6708/2000/06/031

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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