Abstract
In this paper the general non-static axially symmetric line element has been considered in the context of Petrov Classification. The space-time is found to be of various Petrov Types under different circumstances. The necessary algebraic conditions for such a space-time to be of class one have also been derived. It is found that there exists only one solution representing a plane symmetric class-one null-electromagnetic field.
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ReferencesReferences
Pirani, F. A. E. (1962).Recent Development in General Relativity, Pergamon Press, pp. 89–105.
Singh, K. P. and Singh, D. N. (1969).J. Phys. A(Gen. Phys.),2, 28.
Roy, S. R. (1969).Metric Characterization of the Space-times of Embedding Class One (to be published).
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Roy, S.R., Tripathi, V.N. On non-static axially symmetric space-time. Gen Relat Gravit 2, 121–127 (1971). https://doi.org/10.1007/BF02450444
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DOI: https://doi.org/10.1007/BF02450444