Interacting Black Holes

Details Interacting Black Holes Interacting Black Holes

2000-08-12

arxiv.org/abs/hep-th/0008106v1

Nucl.Phys. B591 (2000) 469-487

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 4 figures, Latex

Scientific paper

10.1016/S0550-3213(00)00577-0

We revisit the geometry representing l collinear Schwarzschild black holes. It is seen that the black holes' horizons are deformed by their mutual gravitational attraction. The geometry has a string like conical singularity that connects the holes but has nevertheless a well defined action. Using standard gravitational thermodynamics techniques we determine the Free energy for two black holes at fixed temperature and distance, their entropy and mutual force. When the black holes are far apart the results agree with Newtonian gravity expectations. This analyses is generalized to the case of charged black holes. Then we consider black holes embedded in String/M-theory as bound states of branes. Using the effective string description of these bound states and for large separation we reproduce exactly the semi-classical result for the entropy, including the correction associated with the interaction between the holes.

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