A Method for Generating Solutions of Einstein's Equations

1971/06/01 by Robert Geroch · 20 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Advanced Differential Geometry Research #Black Holes and Theoretical Physics

paper · doi:10.1063/1.1665681

Abstract

A method is described for constructing, from any source-free solution of Einstein's equations which possesses a Killing vector, a one-parameter family of new solutions. The group properties of this transformation are discussed. A new formalism is given for treating space-times having a Killing vector.

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