Nonstationary Kerr Congruences

Abstract

The Kerr solution is defined by a null congruence which is geodesic and shear free and has a singular line contained in a bounded region of space. A generalization of the Kerr congruence for nonstationary case is obtained. We find a nonstationary shear free geodesic null congruence which is generated by a given analytical complex world line. Solutions of the Einstein equations are analyzed. It is shown that there exists complex radiative solution which is generalization of the Kerr solution and the Kinnersley accelerating solution for "photon rocket".

17 pages., AmS-TeX

References in corpus (1)

• String-Like Structures in Complex Kerr Geometry

Cited by in corpus (12)

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• The Dirac -- Kerr-Newman electron
• Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
• Complex Kerr Geometry and Nonstationary Kerr Solutions
• Spinning Particle as a Non-trivial Rotating Super Black Hole with Broken N=2 Supersymmetry
• Stringlike structures in Kerr-Schild geometry: N=2 string, twistors and Calabi-Yau twofold
• Renormalization by gravity and the Kerr spinning particle
• Structure of Spinning Particle Suggested by Gravity, Supergravity and Low Energy String Theory
• Complex Structure of Kerr Geometry and Rotating `Photon Rocket' Solutions
• "Alice" String as Source of the Kerr Spinning Particle
• The Kerr theorem, Kerr-Schild formalizm and multiparticle Kerr-Schild solutions
• Algebrodynamics: Shear-Free Null Congruences and New Types of Electromagnetic Fields