Symmetries of Einstein’s field equations with a perfect fluid source as examples of Lie–Bäcklund symmetries

DOI10.1063/1.527913zbMath0645.53045OpenAlexW2082526324MaRDI QIDQ3788667

No author found.

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527913

zbMATH Keywords

vacuumsymmetriesperfect fluidEinstein's field equationsKilling vectorsLie-Bäcklund symmetries

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Applications of local differential geometry to the sciences (53B50)

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Cites Work

• Spatially homogeneous and inhomogeneous cosmologies with equation of state p=mu
• Plane symmetric self-gravitating fluids with pressure equal to energy density
• Linear superposition of solutions of the Einstein-Maxwell equations
• A Method for Generating Solutions of Einstein's Equations
• A Method for Generating New Solutions of Einstein's Equation. II