Hamiltonian formalism for relativistic perfect fluids

Details Hamiltonian formalism for relativistic perfect fluids Hamiltonian formalism for relativistic perfect fluids

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..16.1702m&link_type=abstract

Physical Review D (Particles and Fields), Volume 16, Issue 6, 15 September 1977, pp.1702-1705

Physics

10

Scientific paper

We apply Arnowitt, Deser, and Misner (ADM) reduction techniques to Taub's variational principle for self-gravitating, relativistic perfect fluids. We derive conditions upon the fluid configuration which are sufficient to ensure that the constraint equations can be solved for the lapse function and shift vector field. We show that with Taub's coordinate conditions the ADM Hamiltonian is always equal to the total baryon number of the fluid and is thus a conserved quantity. Finally, we derive the Hamiltonian explicitly for the particular equations of state p = (γ-1)ρ.

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