Kerr-Schild Approach to the Boosted Kerr Solution

Abstract

Using a complex representation of the Debney-Kerr-Schild (DKS) solutions and the Kerr theorem we analyze the boosted Kerr geometries and give the exact and explicit expressions for the metrics, the principal null congruences, the coordinate systems and the location of the singularities for arbitrary value and orientation of the boost with respect to the angular momentum. In the limiting, ultrarelativistic case we obtain light-like solutions possessing diverging and twisting principal null congruences and having, contrary to the known pp-wave limiting solutions, a non-zero value of the total angular momentum. The implications of the above results in various related fields are discussed.

16 pages, LaTeX

References in corpus (1)

• Boosted three-dimensional black-hole evolutions with singularity excision

Cited by in corpus (18)

• The Dirac -- Kerr-Newman electron
• Gravitational field of a spinning radiation beam-pulse in higher dimensions
• What we (don't) know about black hole formation in high-energy collisions
• Complex Kerr Geometry and Nonstationary Kerr Solutions
• Kerr-Newman solution as a Dirac particle
• Ultrarelativistic black hole in an external electromagnetic field and gravitational waves in the Melvin universe
• Gravity vs. Quantum theory: Is electron really pointlike?
• Emergence of the Dirac Equation in the Solitonic Source of the Kerr Spinning Particle
• Light-Like Boost of the Kerr Gravitational Field
• Lightlike limit of the boosted Kerr black holes in higher-dimensional spacetimes
• The Aichelburg-Sexl Boost of Domain-Walls and Cosmic Strings
• The Kerr theorem and multiparticle Kerr-Schild solutions
• Bohmian trajectories for Kerr-Newman particles in complex space-time
• Complex Structure of Kerr Geometry and Rotating `Photon Rocket' Solutions
• Complex Kerr Geometry, Twistors and the Dirac Electron
• A toy model of the five-dimensional universe with the cosmological constant
• Arising of trapped surfaces with non-trivial topology from colliding shock waves
• Phase transition of spacetime: particles as black holes in anti-de Sitter space