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

C L Pekeris; K Frankowski

doi:10.1073/pnas.88.8.3263

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

Proc Natl Acad Sci U S A. 1991 Apr 15;88(8):3263-7. doi: 10.1073/pnas.88.8.3263.

Authors

C L Pekeris¹, K Frankowski

Affiliation

¹ Department of Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel.

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.