Newman-Janis Algorithm from Taub-NUT Instantons
Joon-Hwi Kim
TL;DR
This paper demonstrates that the Kerr and related metrics can be rigorously derived as superpositions of Taub-NUT instantons, providing a physical origin for these solutions and extending the Newman-Janis algorithm.
Contribution
It establishes a rigorous connection between Kerr-type metrics and Taub-NUT instantons, clarifying their physical interpretation and extending the Newman-Janis algorithm.
Findings
Kerr metric as superposition of Taub-NUT instantons
Kerr-Newman and Kerr-Taub-NUT as systems of Taub-NUT instantons and dyons
Newman-Janis algorithm derived rigorously from instanton superpositions
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.
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Taxonomy
TopicsScientific Computing and Data Management · Cloud Computing and Resource Management