Backlund transformations of axially symmetric stationary gravitational fields
Abstract
A generation theorem for solutions of Einstein's equations is presented. It consists mainly of algebraic steps. With its aid, one obtains from an 'old' solution (e.g., from the Minkowski space) 'new' solutions with an arbitrary number of constants. The method of repeated application of potential and coordinate transformations considered by Geroch and Kinnerley is included.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 April 1979
 DOI:
 10.1088/03054470/12/4/001
 Bibcode:
 1979JPhA...12L..67N
 Keywords:

 Einstein Equations;
 Gravitational Fields;
 Transformations (Mathematics);
 Coordinate Transformations;
 Field Theory (Physics);
 Minkowski Space;
 Physics (General)