Spherically symmetric dust shell and the time problem in canonical relativity

Details Spherically symmetric dust shell and the time problem in canonical relativity Spherically symmetric dust shell and the time problem in canonical relativity

Aug 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvd..62d4025h&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 62, Issue 4, 15 August 2000, id.044025

Physics

9

Canonical Quantization, Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

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.

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