Journal title
Classical and Quantum Gravity
DOI
10.1088/0264-9381/13/4/001
Issue
4
Volume
13
Last updated
2026-01-02T22:42:14.55+00:00
Page
L33-L39
Abstract
Both the Ernst equation and the six Painlevé transcendental equations are reductions of the self-dual Yang-Mills (SDYM) equations. We show how this link can be used to find exact solutions to Einstein's equations and to understand aspects of the integrability of the Ernst equation. © 1996 IOP Publishing Ltd.
Symplectic ID
22394
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Publication type
Journal Article
Publication date
01 Dec 1996