Bäcklund Transformation for the Ernst Equation of General Relativity
Abstract
A Bäcklund transformation for the Ernst equation arising in general relativity in connection with several physical problems is derived, using the pseudopotential method of Wahlquist and Estabrook. A prolongation structure is also constructed, using a method of writing the equations in terms of differential forms, and an equation in the spirit of Lax is constructed, somewhat different from that given by Maison. Possible uses of the Bäcklund transformation to generate new solutions are mentioned.
 Publication:

Physical Review Letters
 Pub Date:
 October 1978
 DOI:
 10.1103/PhysRevLett.41.1197
 Bibcode:
 1978PhRvL..41.1197H