A Method for Generating Solutions of Einstein's Equations
1971/06/01 by Robert Geroch · 688 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Formalism (music) #Killing vector field #Mathematical analysis #Mathematical physics #Mathematics #Physics
paper · doi:10.1063/1.1665681
published in Journal of Mathematical Physics 12(6), 918-924 (American Institute of Physics)
openalex publication_date 1971/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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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