Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759914 | Communications in Nonlinear Science and Numerical Simulation | 2007 | 9 Pages |
Abstract
The isovector fields (infinitesimal generators of Lie groups) of Einstein vacuum equations for stationary axially symmetric rotating fields, in conventional form, that is a coupled system of nonlinear partial differential equations (PDEs) of second order are derived using the geometric prolongation technique. Some symmetry transformations and similarity (exact) solutions of Einstein vacuum equations are obtained.
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Authors
S.K. Attallah, M.F. El-Sabbagh, A.T. Ali,