Hamiltonian Theory of a Relativistic Perfect Fluid

Bernard F. Schutz, Jr.
Phys. Rev. D 4, 3559 – Published 15 December 1971
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Abstract

The velocity-potential version of the hydrodynamics of a relativistic perfect fluid is put into Hamiltonian form by applying Dirac's method to the version's degenerate Lagrangian. There is only one independent momentum, and the Hamiltonian density is T00(g00)12. The Einstein equations for a perfect fluid are then put into Hamiltonian form by analog with Arnowitt, Deser, and Misner's vacuum Einstein equations. The Hamiltonian density splits into two pieces, which are the coordinate densities of energy and momentum of the fluid relative to an observer at rest on the hypersurface of constant coordinate time.

  • Received 4 August 1971

DOI:https://doi.org/10.1103/PhysRevD.4.3559

©1971 American Physical Society

Authors & Affiliations

Bernard F. Schutz, Jr.*

  • California Institute of Technology, Pasadena, California 91109

  • *Present address: Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, England.

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Issue

Vol. 4, Iss. 12 — 15 December 1971

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