Summary
In this paper we investigate and exhibit space-times which admit states of pure radiation in the sense of Lichnerowicz. In § 1 the notion of special total pure radiation is introduced, and in § 2 we derive the canonical line element for this type of radiation. An additional type of spacetime admitting radiation is considered in § 3. A class of singular integrable electromagnetic fields for the space-times of § 2 are constructed in § 4. The final section is concerned with the radiation condition proposed by Zakharov.
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Work supported by National Science Foundation Grants GP 6876 and GP 7401.
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Levine, J., Zund, J.D. States of total pure radiation in general relativity. Annali di Matematica 80, 373–386 (1968). https://doi.org/10.1007/BF02413637
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DOI: https://doi.org/10.1007/BF02413637