Parametrizing fluids in canonical quantum gravity

Details Parametrizing fluids in canonical quantum gravity Parametrizing fluids in canonical quantum gravity

2008-07-12

arxiv.org/abs/0807.1982v1

Int.J.Mod.Phys.A23:1240-1243,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures. Proceeding of the II Stueckelberg Workshop, Pescara, Sept. 2007

Scientific paper

10.1142/S0217751X08040147

The problem of time is an unsolved issue of canonical General Relativity. A possible solution is the Brown-Kuchar mechanism which couples matter to the gravitational field and recovers a physical, i.e. non vanishing, observable Hamiltonian functional by manipulating the set of constraints. Two cases are analyzed. A generalized scalar fluid model provides an evolutionary picture, but only in a singular case. The Schutz' model provides an interesting singularity free result: the entropy per baryon enters the definition of the physical Hamiltonian. Moreover in the co-moving frame one is able to identify the time variable tau with the logarithm of entropy.

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