Comments on Black Holes in Matrix Theory

Details Comments on Black Holes in Matrix Theory Comments on Black Holes in Matrix Theory

1997-10-29

arxiv.org/abs/hep-th/9710217v2

Phys.Rev. D57 (1998) 4935-4941

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, harvmac, minor errors corrected

Scientific paper

10.1103/PhysRevD.57.4935

The recent suggestion that the entropy of Schwarzschild black holes can be computed in matrix theory using near-extremal D-brane thermodynamics is examined. It is found that the regime in which this approach is valid actually describes black strings stretched across the longitudinal direction, near the transition where black strings become unstable to the formation of black holes. It is argued that the appropriate dynamics on the other (black hole) side of the transition is that of the zero modes of the corresponding super Yang-Mills theory. A suggestive mean field theory argument is given for the entropy of black holes in all dimensions. Consequences of the analysis for matrix theory and the holographic principle are discussed.

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