Phys. Rev. D 62, 044025 (2000) [5 pages]Spherically symmetric dust shell and the time problem in canonical relativityReceived 16 March 2000; published 24 July 2000 The dynamics of a self-gravitating spherical dust shell is analyzed within the Hamiltonian formulation. Given any time variable on the shell, a complete reduction with respect to the momentum constraints is obtained and the true degrees of freedom of the composed “matter + gravity” system are found. The transition between two such formulations, corresponding to two different time parametrizations, is described as a canonical transformation in the reduced phase space. Explicit formulas for such a transformation are given. Implications for quantum gravity are discussed. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.044025
DOI:
10.1103/PhysRevD.62.044025
PACS:
04.60.Ds, 04.20.Fy
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