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Problems of classical and quantum gravitational collapse. II (general relativistic hamiltonian dynamics of a perfect fluid)

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Abstract

The Dirac scheme of the canonical formalism is formulated for the description of an interacting system consisting of matter and the gravitational field; this scheme is applied to a spherical distribution of a perfect fluid in the case of a maximally hard equation of state; an exact special solution of the corresponding canonical equations is obtained; the ADM method is used to construct the true Hamiltonian of the system consisting of a perfect fluid and the gravitational field; ways to quantize the model are considered.

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Literature cited

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    V. N. Ponomarev, V. G. Krechet & A. O. Barvinskii

Authors
  1. V. N. Ponomarev
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  2. V. G. Krechet
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  3. A. O. Barvinskii
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 4, pp. 131–137, April, 1977.

We are very grateful to V. I. Boshkov and V. N. Efremov for helpful discussions.

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Ponomarev, V.N., Krechet, V.G. & Barvinskii, A.O. Problems of classical and quantum gravitational collapse. II (general relativistic hamiltonian dynamics of a perfect fluid). Soviet Physics Journal 20, 533–538 (1977). https://doi.org/10.1007/BF01207704

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  • DOI: https://doi.org/10.1007/BF01207704

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