Complex Kerr Geometry and Nonstationary Kerr Solutions

Details Complex Kerr Geometry and Nonstationary Kerr Solutions Complex Kerr Geometry and Nonstationary Kerr Solutions

2002-12-11

arxiv.org/abs/gr-qc/0212048v3

Phys.Rev. D67 (2003) 124024

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v.3, revtex, 16 pages, one eps-figure, final version (to appear in PRD), added the relation to twistors and algorithm of numer

Scientific paper

10.1103/PhysRevD.67.124024

In the frame of the Kerr-Schild approach, we consider the complex structure of Kerr geometry which is determined by a complex world line of a complex source. The real Kerr geometry is represented as a real slice of this complex structure. The Kerr geometry is generalized to the nonstationary case when the current geometry is determined by a retarded time and is defined by a retarded-time construction via a given complex world line of source. A general exact solution corresponding to arbitrary motion of a spinning source is obtained. The acceleration of the source is accompanied by a lightlike radiation along the principal null congruence. It generalizes to the rotating case the known Kinnersley class of "photon rocket" solutions.

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