Painlevé transcendents and Einstein's equation

DOI10.1088/0264-9381/13/4/001zbMath0846.58074OpenAlexW1994481818MaRDI QIDQ4876652

N. M. J. Woodhouse, G. Calvert

Publication date: 7 October 1996

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/13/4/001

zbMATH Keywords

Einstein's equationsErnst equationself-dual Yang-Mills equationsPainlevé transcendental equations

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (3)

Parametrization of solutions of the Lewis metric by a Painlevé transcendent III ⋮ Stationary axisymmetric solutions involving a third order equation irreducible to Painlevé transcendents ⋮ \(W(E_{10}\)) symmetry, M-theory and Painlevé equations

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