Some new stationary axisymmetric asymptotically flat space-times obtained from Painlevé transcendents

DOI10.1063/1.528201zbMath0649.53033OpenAlexW2039476744MaRDI QIDQ3794852

S. Persides, Basilis C. Xanthopoulos

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528201

zbMATH Keywords

cylindrical coordinatesasymptotically flatseparable solutions

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of local differential geometry to the sciences (53B50)

Related Items (6)

Parametrization of solutions of the Lewis metric by a Painlevé transcendent III ⋮ The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability ⋮ A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation ⋮ Stationary axisymmetric solutions involving a third order equation irreducible to Painlevé transcendents ⋮ \(W(E_{10}\)) symmetry, M-theory and Painlevé equations ⋮ Isomonodromic deformations and self-similar solutions for the Einstein- Maxwell equations

Cites Work

• On a particular transcendent solution of the Ernst system generalized on n fields
• Cylindrical waves in general relativity
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• A Method for Generating New Solutions of Einstein's Equation. II
• Eine rotationssymmetrische Lösung in der allgemeinen Relativitätstheorie

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