Matrix Theory Description of Schwarzschild Black Holes in the Regime N >> S

Abstract

We study the description of Schwarzschild black holes, of entropy S, within matrix theory in the regime $N\ge S\gg 1$. We obtain the most general matrix theory equation of state by requiring that black holes admit a description within this theory. It has a recognisable form in various cases. In some cases a D dimensional black hole can plausibly be thought of as a $\tilde{D}=D+1$ dimensional black hole, described by another auxiliary matrix theory, but in its $\tilde{N}\sim S$ regime. We find what appears to be a matrix theory generalisation to higher dynamical branes of the normalisation of dynamical string tension, seen in other contexts. We discuss a further possible generalisation of the matrix theory equation of state. In a special case, it is governed by $N^3$ dynamical degrees of freedom.

22 pages. Latex file

References in corpus (13)

• Why is the Matrix Model Correct?
• Schwarzschild Black Holes from Matrix Theory
• Matrix Theory
• Dynamics of (n, 1) Strings
• Schwarzchild Black Holes in Matrix Theory II
• Schwarzschild Black Holes in Various Dimensions from Matrix Theory
• Comments on Black Holes in Matrix Theory
• Matrix Schwarzschild Black Holes in Large N limit
• Evaporation of Schwarzschild Black Holes in Matrix Theory
• Statistical mechanics of D0-branes and black hole thermodynamics
• Boosts, Schwarzschild Black Holes and Absorption cross-sections in M theory
• Statistical Entropy of the Four Dimensional Schwarzschild Black Hole
• Statistical Entropy of Schwarzschild Black Holes

Cited by in corpus (4)

• Brane-Antibrane Systems at Finite Temperature and the Entropy of Black Branes
• The Entropy of the Rotating Charged Black Threebrane from a Brane-Antibrane System
• A Description of Schwarzschild Black Holes in terms of Intersecting M-branes and antibranes
• Black Hole Entropy and Superconformal Field Theories on Brane-Antibrane Systems