Göttingen 2012 – scientific programme
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GR: Fachverband Gravitation und Relativitätstheorie
GR 5: Schwarze Löcher – Lösungen I
GR 5.6: Talk
Tuesday, February 28, 2012, 10:10–10:30, ZHG 002
Bidifferential calculus approach to solutions of the Ernst equations — Aristophanes Dimakis1, •Nils Kanning2, and Folkert Müller-Hoissen3 — 1Department of Financial and Management Engineering, University of the Aegean, Chios, Greece — 2Institute for Mathematics and Institute for Physics, Humboldt University, Berlin, Germany — 3Max-Planck-Institute for Dynamics and Self-Organization, Göttingen, Germany
The “bidifferential calculus framework” (see also the talk by Folkert Müller-Hoissen) provides an abstract formulation of many features of “integrable” partial differential and difference equations. A special solution generating method in this framework has been used to construct in particular “multi-soliton” solutions of various integrable equations. Recently this result has been applied to the Ernst equations (arXiv:1106.4122), which are the central part of the stationary axially symmetric Einstein vacuum and Einstein-Maxwell equations. Based on this work, we present a derivation of the multi-Kerr-NUT solutions and their electrically and magnetically charged generalizations, the multi-Demiański-Newman spacetimes.