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Motion of matter in metric-affine theory of gravitation

  • Elementary-Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

Based on the Lie derivative technique in a general space with affine connection (L4, g), we show that in the metric-affine theory of gravitation, the law of conservation of the energy-momentum tensor for matter and consequently also the equations of motion for matter stemming from this law are (as in the general theory of relativity) a consequence of the gravitational field equations. We derive the hydrodynamic equation of motion for an ideal Weyssenhoff—Raabe spin fluid in Weyl space. We discuss the possibilities for observation of space—time nonmetricity.

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Authors
  1. O. V. Baburova
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  2. M. Yu. Korolev
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  3. B. N. Frolov
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Additional information

Moscow State Pedagogical University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 76–82, January, 1994.

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Baburova, O.V., Korolev, M.Y. & Frolov, B.N. Motion of matter in metric-affine theory of gravitation. Russ Phys J 37, 69–74 (1994). https://doi.org/10.1007/BF00558925

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  • DOI: https://doi.org/10.1007/BF00558925

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