On Schwarzschild Black Hole in Large N Matrix theory

Abstract

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 ($D\ge 6$), 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.

9 pages, no figure;minor changes, reference added

References in corpus (6)

• Why is the Matrix Model Correct?
• Schwarzschild Black Holes from Matrix Theory
• Schwarzschild Black Holes in Various Dimensions from Matrix Theory
• Comments on Black Holes in Matrix Theory
• Evaporation of Schwarzschild Black Holes in Matrix Theory
• Euclidean Path Integral, D0-Branes and Schwarzschild Black Holes in Matrix Theory