Equivalence of the Husain and the Plebański equations

Details Equivalence of the Husain and the Plebański equations Equivalence of the Husain and the Plebański equations

2006-03-31

arxiv.org/abs/gr-qc/0603133v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

We show that Husain's reduction of the self-dual Einstein equations is
equivalent to the Pleba\'nski equation. The B\"acklund transformation between
these equations is found. Contact symmetries of the Husain equation are
derived.

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