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Nonstationary Kerr Congruences

1995/01/13 by A. Burinskii, R. P. Kerr, Burinskii, A. +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9501012

17 pages., AmS-TeX

arxiv created 1995/01/13 · arxiv updated 2009/11/30

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".

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