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Complete Analytic Extension of the Symmetry Axis of Kerr's Solution of Einstein's Equations
Phys. Rev. 141, 1242 – Published 28 January, 1966
DOI: https://doi.org/10.1103/PhysRev.141.1242
Abstract
The 2-dimensional metric on the symmetry axis of the Kerr solution is examined and it is shown that in the form usually given it is incomplete when . The method developed by Kruskal for completing the Schwarzschild solution is adapted to the distinct cases and . In each case a singularity-free metric is obtained which is periodic with respect to a timelike coordinate, and which is shown to be a complete analytic extension. The generalization to the full 4-dimensional Kerr solution is discussed, and finally the questions of uniqueness and causality are considered.
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