A class of algebraically general solutions of the Einstein-Maxwell equations for non-null electromagnetic fields. II

Details A class of algebraically general solutions of the Einstein-Maxwell equations for non-null electromagnetic fields. II A class of algebraically general solutions of the Einstein-Maxwell equations for non-null electromagnetic fields. II

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..479t&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 6, pp.479-486

Physics

4

Scientific paper

In a previous article the Einstein-Maxwell field equations for non-null electromagnetic fields were studied under the conditions that the null tetrad is parallel-propagated along both principal null congruences. A solution with twist and shear, but no expansion, was found and was conjectured to be the only expansion-free solution. Here it is shown that this conjecture is false; the general expansion-free solution is found to be a family of space-times depending on a single constant parameter which is the ratio of the (constant) twists of the two principal null congruences.

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