Phys. Rev. D 55, 7973–7976 (1997)Difference between admissible and “differentiable” HamiltoniansReceived 20 December 1996; published in the issue dated 15 June 1997 It is shown that the Regge-Teitelboim criterion for fixing the unique boundary contribution to the Hamiltonian compatible with free boundary conditions should be modified if the Poisson structure is noncanonical. The new criterion requires cancellation of boundary contributions to the Hamiltonian equations of motion. At the same time, boundary contributions to the variation of the Hamiltonian are allowed. The Ashtekar formalism for gravity and hydrodynamics of the ideal fluid with a free surface in the Clebsch variables is treated as an example. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.55.7973
DOI:
10.1103/PhysRevD.55.7973
PACS:
04.20.Fy, 03.40.Gc, 11.10.Ef
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