Double-Alekseev inverse scattering method in the stationary axi-symmetric vacuum gravitation field equations

Open Physics - 2008
Chunyan Wang1, Yuanxing Gui1, Yajun Gao2
1School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116023, China
2Department of Physics, Bohai University, Jinzhou, 121003, China

Tóm tắt

AbstractWe present a new improvement to the Alekseev inverse scattering method. This improved inverse scattering method is extended to a double form, followed by the generation of some new solutions of the double-complex Kinnersley equations. As the double-complex function method contains the Kramer-Neugebauer substitution and analytic continuation, a pair of real gravitation soliton solutions of the Einstein’s field equations can be obtained from a double N-soliton solution. In the case of the flat Minkowski space background solution, the general formulas of the new solutions are presented.

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