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Cosmological term in the general theory of relativity and localization of the de Sitter and Einstein groups

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Abstract

The theory of a gauge gravitational field with localization of the de Sitter group is formulated. Starting from the tetradic components of the de Sitter universe, a relationship is established between the Riemannian metric and the de Sitter gauge field. It is shown that the general theory of relativity with the cosmological term is the simplest variant of the de Sitter gauge theory of gravitation, which transforms in the limit of an infinite radius of curvature of the de Sitter universe into the Poincaré-invariant GTR without the cosmological term. A theory of a gauge gravitational field with localization of Einstein's group of motions of the uniform static universe (the Einstein group R × S0 (4)) is formulated in an analogous manner.

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Additional information

Translated from Izvestiya Vysshykh Uchebnykh Zavedenii, Fizika, No. 8, pp. 86–90, August, 1984.

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Tunyak, V.N. Cosmological term in the general theory of relativity and localization of the de Sitter and Einstein groups. Soviet Physics Journal 27, 701–705 (1984). https://doi.org/10.1007/BF00893118

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Keywords

  • Gauge Theory
  • General Theory
  • Gravitational Field
  • Gauge Field
  • Analogous Manner