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Newman-Janis Algorithm from Taub-Newman-Unti-Tamburino Instantons
1California Institute of Technology, Walter Burke Institute for Theoretical Physics, Pasadena, California 91125, USA.
The Kerr metric arises from combining self-dual and anti-self-dual Taub-Newman-Unti-Tamburino (NUT) instantons. This provides a rigorous physical basis for the Kerr metric and related solutions using instanton systems.
Area of Science:
- Theoretical physics
- General relativity
- Quantum field theory
Background:
- The Kerr metric describes rotating black holes but lacks a clear physical origin.
- Taub-Newman-Unti-Tamburino (NUT) instantons are solutions in general relativity.
Purpose of the Study:
- To provide a rigorous derivation and physical interpretation of the Kerr metric.
- To explore the relationship between instantons and black hole solutions.
Main Methods:
- Nonlinear superposition of self-dual and anti-self-dual Taub-NUT instantons.
- Extension of the Newman-Janis algorithm.
Main Results:
- The Kerr metric is shown to be a nonlinear superposition of specific instantons.
- The Newman-Janis algorithm is rigorously derived with physical grounding.
- Kerr-Newman and charged Kerr-Taub-NUT solutions are identified as systems of Taub-NUT instantons and chiral dyons.
Conclusions:
- The study establishes a definite physical origin for the Kerr metric.
- It unifies descriptions of various black hole solutions through instanton and dyon systems.
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