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Conformally planar gravitational fields produced by matter

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A geometric property (spherical symmetry) which unambiguously distinguishes homogeneous cosmological models (Friedmann spaces) from other conformally planar gravitational fields is pointed out. Certain general properties of the distribution and motion of matter in conformally planar gravitational fields are established, and new solutions of the Einstein equations are derived.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 11, pp. 67–73, November, 1969.

The author thanks D. D. Ivanenko and the participants in a seminar under his guidance for discussion of these results.

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Vashchuk, V.I. Conformally planar gravitational fields produced by matter. Soviet Physics Journal 12, 1422–1427 (1969). https://doi.org/10.1007/BF00838295

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  • Geometric Property
  • General Property
  • Gravitational Field
  • Cosmological Model
  • Einstein Equation