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Bochner techniques and cosmological models

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

Abstract

We demonstrate the possibility of applying the Bochner techniques [R. Zh. Matematika, 2A, 746 (1985)] to dynamics of an ideal fluid in a curved space-time. One example of the result of such application is that every irrotational motion of “cosmological fluid” with zero expansion in a closed oriented space-time obeying the energy condition is shearless.

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Authors
  1. S. E. Stepanov
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Additional information

Vladimir State Pedagogical Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 82–86, June, 1993.

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Stepanov, S.E. Bochner techniques and cosmological models. Russ Phys J 36, 578–581 (1993). https://doi.org/10.1007/BF00559457

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  • DOI: https://doi.org/10.1007/BF00559457

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