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arxiv: hep-th/9806242 · v2 · submitted 1998-06-30 · ✦ hep-th

On Schwarzschild Black Hole in Large N Matrix theory

classification ✦ hep-th
keywords largematrixtheoryblackholeschwarzschildconsideredd0-brane
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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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