Mathematics – Mathematical Physics
Scientific paper
Jun 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jmp....20.1004p&link_type=abstract
Journal of Mathematical Physics, Volume 20, Issue 6, pp. 1004-1010 (1979).
Mathematics
Mathematical Physics
14
Fundamental Problems And General Formalism
Scientific paper
We investigate all type D solutions of the Einstein-Maxwell equations (with cosmological constant) such that the Debever-Penrose vectors are aligned along the two eigenvectors of the electromagnetic field, in the special case when a direct generalization of the Goldberg-Sachs theorem is not possible. A solution is found which admits no Killing vectors. We also present an extension of the Golberg-Sachs theorem valid for type D metrics.
Hacyan Shahen
Plebański Jerzy F.
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