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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1991 Apr 15;88(8):3263–3267. doi: 10.1073/pnas.88.8.3263

Solution of the coupled Einstein-Maxwell equations in oblate spheroidal coordinates.

C L Pekeris 1, K Frankowski 1
PMCID: PMC51426  PMID: 11607174

Abstract

Using Ernst's theory of complex potentials, a solution of the coupled Einstein-Maxwell equations in oblate spheroidal coordinates is obtained for a source possessing mass, electric charge, and angular momentum. The density of the electromagnetic energy is evaluated. Explicit expressions are derived for the components of the Ricci tensor Rmunu, and of the electromagnetic energy momentum tensor Emunu, as well as for Enumu.

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