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Complex Kerr geometry, and nonstationary Kerr solutions

Dec, 2002
14 pages
Published in:
  • Phys.Rev.D 67 (2003) 124024
e-Print:
DOI:
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Abstract: (arXiv)
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.
Note:
  • Extended version of the e-print gr-qc 0210010
  • 04.40.Nr
  • 04.20.Jb
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