Self-dual metrics in Husain's approach

Abstract

We show that Husain's reduction of the self-dual Einstein equations is equivalent to the Plebański equation. The Bäcklund transformation between these equations is found. Contact symmetries of the Husain-Park equation and corresponding conservation laws are derived.

8 pages

References in corpus (2)

• The Lagrangian of a Self-Dual Gravitational Field as a Limit of the SDYM Lagrangian
• From 2D Integrable Systems to Self-Dual Gravity