On Schwarzschild Black Hole in Large N Matrix theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, no figure;minor changes, reference added

Scientific paper

10.1016/S0370-2693(99)00154-9

D0-brane gas picture of Schwarzschild black hole (SBH) is considered in the large N regime of Matrix theory. An entropy formula, which reproduces the thermodynamics of SBH in the large N limit for all dimensions ($D\geq 6$), is proposed. The equations of states for low temperature are obtained. We also give a proof of the Newton gravitation law between two SBHs, whose masses are not equal. Our result in some extent supports that the physics of Matrix theory is Lorentz invariant.

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