M Jakimowicz and J Tafel 2006 Class. Quantum Grav. 23 4907 doi:10.1088/0264-9381/23/15/010
M Jakimowicz and J Tafel
Show affiliationsWe 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.
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
83C40 Gravitational energy and conservation laws; groups of motions
Issue 15 (7 August 2006)
Received 15 February 2006, in final form 1 June 2006
Published 11 July 2006
M Jakimowicz and J Tafel 2006 Class. Quantum Grav. 23 4907
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