Multicentered solution for maximally charged dilaton black holes in arbitrary dimensions.

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

A family of static multicentered solutions to modified Einstein-Maxwell equations coupled with a dilaton is constructed in (1+N) dimensional space-time (N ≥ 2). For N ≥ 3, the solutions are generalizations of the Majumdar-Papapetrou solution. The author also finds the solution in (1+2) dimensions, where the scalar and vector forces cancel each other in the static case. The interaction between two extreme charged dilaton black holes in the low-energy limit is investigated in (1+N) dimensions (N ≥ 3). It is found that there remains the residual velocity-dependent force in general cases, except for the case with N = a2.

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