Isomonodromic deformations and self-similar solutions for the Einstein- Maxwell equations

DOI10.1007/BF01102636zbMath0784.35116OpenAlexW2079728769MaRDI QIDQ1316566

Alexander V. Kitaev

Publication date: 22 February 1994

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01102636

zbMATH Keywords

self-similar solutionsEinstein-Maxwell equationsaxiallly symmetric case

Mathematics Subject Classification ID

PDEs in connection with relativity and gravitational theory (35Q75) Einstein-Maxwell equations (83C22)

Related Items (1)

Generalized Knizhnik–Zamolodchikov equations and isomonodromy quantization of the equations integrable via the Inverse Scattering Transform: Maxwell–Bloch system with pumping

Cites Work

• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Self-similar solutions of the equations of general relativity associated with the solutions of P-type equations
• Self-similar solutions of the modified nonlinear Schrödinger equation
• The isomonodromic deformation method in the theory of Painlevé equations
• Inverse scattering method with variable spectral parameter
• Monodromy- and spectrum-preserving deformations. I
• Lie transformations, nonlinear evolution equations, and Painlevé forms
• On a particular transcendent solution of the Ernst system generalized on n fields
• Some new stationary axisymmetric asymptotically flat space-times obtained from Painlevé transcendents

This page was built for publication: Isomonodromic deformations and self-similar solutions for the Einstein- Maxwell equations