Abstract
Some special conformal mappings of relativistic spaces are studied. The amount of arbitrariness with which one can describe a nontrivial special conformai mapping is determined. Necessary and sufficient conditions are found under which a space-timeV admits a special conformal mapping to space-time ¯V in which the metric tensor of bothV and ¯V satisfy the Einstein equations with the energy-momentum tensor of an ideal fluid having a geodesic velocity field.
It is proved that such spaces are spaces of standard cosmological models.
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Additional information
Translated from Ukrainskií Geometricheskií Sbornik, Issue 28, 1985, pp. 43–50.
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Denisov, V.I. Special conformal mappings in the general theory of relativity. J Math Sci 48, 36–40 (1990). https://doi.org/10.1007/BF01098040
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DOI: https://doi.org/10.1007/BF01098040