Painleve transcendents and Einstein's equation

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 P...

Full description

Bibliographic Details
Main Authors: Calvert, G, Woodhouse, N
Format: Journal article
Language:English
Published: 1996