Complete Analytic Extension of the Symmetry Axis of Kerr's Solution of Einstein's Equations
Abstract
The 2dimensional 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 a^{2}<=m^{2}. The method developed by Kruskal for completing the Schwarzschild solution is adapted to the distinct cases a^{2}<m^{2} and a^{2}=m^{2}. In each case a singularityfree 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 4dimensional Kerr solution is discussed, and finally the questions of uniqueness and causality are considered.
 Publication:

Physical Review
 Pub Date:
 January 1966
 DOI:
 10.1103/PhysRev.141.1242
 Bibcode:
 1966PhRv..141.1242C