LETTER TO THE EDITOR: Painlevé transcendents and Einstein's equation

Details LETTER TO THE EDITOR: Painlevé transcendents and Einstein's equation LETTER TO THE EDITOR: Painlevé transcendents and Einstein's equation

Apr 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13l..33c&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 4, pp. L33-L39 (1996).

Physics

3

Scientific paper

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.

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