The Singularity Structure of a Soliton Solution to the Higher-Dimensional Einstein Equations

Physics

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Scientific paper

We study a stationary and axisymmetric solution to the higher-dimensional Einstein equations and investigate its singularity structure. The solution consists of two solitons in the four-dimensional part (i.e., the Kerr solution) and n solitons in the extra dimensions. Naked singularities appear on the symmetry axis (z-axis) and/or at the event horizons of the Kerr solutions. In a certain choice of integration constants there are solutions with regular event horizons.

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