Kerr-Schild Approach to the Boosted Kerr Solution

Details Kerr-Schild Approach to the Boosted Kerr Solution Kerr-Schild Approach to the Boosted Kerr Solution

1999-04-06

arxiv.org/abs/gr-qc/9904012v1

Phys.Rev. D61 (2000) 044017

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, LaTeX

Scientific paper

10.1103/PhysRevD.61.044017

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.

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