The Singularity Structure of a Soliton Solution to the Higher-Dimensional Einstein Equations
- 1 October 1991
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 86 (4) , 833-840
- https://doi.org/10.1143/ptp.86.833
Abstract
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.Keywords
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