A Method for Generating Solutions of Einstein's Equations
Abstract
A method is described for constructing, from any sourcefree solution of Einstein's equations which possesses a Killing vector, a oneparameter family of new solutions. The group properties of this transformation are discussed. A new formalism is given for treating spacetimes having a Killing vector.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 June 1971
 DOI:
 10.1063/1.1665681
 Bibcode:
 1971JMP....12..918G