Fluid Entropy as Time-Variable in Canonical Quantum Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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5 pages, Proceedings of The 3rd Stueckelberg Workshop on Relativistic Field Theories

Scientific paper

The Brown-Kucha\v{r} mechanism is applied in the case of General Relativity coupled with the Schutz' model for a perfect fluid. Using the canonical formalism and manipulating the set of modified constraints one is able to recover the definition of a time evolution operator, i.e. a physical Hamiltonian, expressed as a functional of gravitational variables and the entropy.

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