Equilibrium Condition of Dilaton Black Holes with Electric Charge

Physics

Scientific paper

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Scientific paper

We solve the dilaton Maxwell-Einstein equations in a static and axisymmetric space-time. We show that the equations reduce to two sets of vacuum Einstein equations and then give an infinite number of exact solutions. The solutions show the dilaton black holes aligned along the z-axis. We study conditions that show there should be no conical singularity between two dilaton black holes and its physical consequence that the dilaton black holes cannot be in the static equilibrium.

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