Isovector fields and similarity solutions of Einstein vacuum equations for rotating fields

✍ Scribed by S.K. Attallah; M.F. El-Sabbagh; A.T. Ali

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 183 KB
• Volume: 12
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2006.02.004

✦ Synopsis

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.