Mathematics – Mathematical Physics
Scientific paper
Aug 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006tmpg.conf..425s&link_type=abstract
Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebański. Proceedings of 2002 International
Mathematics
Mathematical Physics
Scientific paper
We present a new method for the construction of exact cylindrical wave solutions of the Einstein-Maxwell equations which is based on solving two complete singular integral equations in the complex plane of an auxiliary analytical parameter. We demonstrate that in the case of a non-singular symmetry axis the group transformation of internal symmetries used in the solution generation process is defined by the axis expression of the Ernst potential.
Garcia Arnaldo
Manko Vladimir S.
Sibgatullin N. R.
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