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

DOI10.1016/j.cnsns.2006.02.004zbMath1350.83002OpenAlexW2033987413MaRDI QIDQ883530

N. E. Zubov

Publication date: 4 June 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.02.004

zbMATH Keywords

symmetry groupsEinstein vacuum equationsisovector fields

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15)

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Cites Work

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• Equivalence groups for second order balance equations
• On certain classes of exact solutions of Einstein equations for rotating fields in conventional and nonconventional form
• Isovector fields and similarity solutions for general balance equations
• New exact solutions for \((3+1)\)-dimensional Kadomtsev- Petviashvili equation and generalized (2+1)-dimensional Boussinesq equation
• Rotating Fields in General Relativity
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
• Symmetries and differential equations

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