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A Method for Generating Solutions of Einstein's Equations
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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.

© 1971 The American Institute of Physics
DOI: http://dx.doi.org/10.1063/1.1665681
Received 16 September 1970 Published online 28 October 2003

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A Method for Generating Solutions of Einstein's Equations
J. Math. Phys. 12, 918 (1971); http://dx.doi.org/10.1063/1.1665681
/content/aip/journal/jmp/12/6/10.1063/1.1665681
/content/aip/journal/jmp/12/6/10.1063/1.1665681