Newman-Janis Algorithm from Taub-NUT Instantons
arXiv:2412.19611 · doi:10.1103/g6nl-1fbn
Abstract
It is shown that the Kerr metric represents the nonlinear superposition of self-dual and anti-self-dual Taub-NUT instantons. This promotes the Newman-Janis algorithm to a rigorous derivation of the Kerr metric with a definite physical origin. In the same way, the Kerr-Newman and charged Kerr-Taub-NUT solutions are systems of Taub-NUT instantons and chiral dyons.
7+3 pages, 4 figures