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A Method for Generating Solutions of Einstein's Equations

Journal of Mathematical Physics · 1971 · Vol. 12(6) · pp. 918–924

Robert Geroch✉(The University of Texas at Austin)

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.

Cosmology and Gravitation Theories Advanced Differential Geometry Research Black Holes and Theoretical PhysicsFormalism (music)EinsteinEinstein field equationsKilling vector fieldMathematicsMathematical physicsPhysicsMathematical analysis

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References

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