Phys. Rev. 141, 1242–1247 (1966)Complete Analytic Extension of the Symmetry Axis of Kerr's Solution of Einstein's EquationsReceived 25 June 1965; published in the issue dated January 1966 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 a2<~m2. The method developed by Kruskal for completing the Schwarzschild solution is adapted to the distinct cases a2<m2 and a2=m2. 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. © 1966 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRev.141.1242
DOI:
10.1103/PhysRev.141.1242
PACS:
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