Self-dual metrics in Husain's approach
classification
🌀 gr-qc
keywords
equationequationshusainself-dualacklundapproachconservationcontact
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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-Park equation and corresponding conservation laws are derived.
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