New similarity solutions for the Ernst equations with electromagnetic fields

DOI10.1063/1.525512zbMath0492.58025OpenAlexW1975840379MaRDI QIDQ3954563

Elliot Fischer

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525512

zbMATH Keywords

coupled nonlinear partial differential equationscoupled nonlinear ordinary differential equationscomplex Ernst functioncomplex Maxwell functionErnst form of the coupled Einstein-Maxwell equationsexact similarity solutions for the Ernst equations with electromagnetic fields

Mathematics Subject Classification ID

Electromagnetic fields in general relativity and gravitational theory (83C50) Applications of PDEs on manifolds (58J90) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems

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