Definition of a time variable with Entropy of a perfect fluid in Canonical Quantum Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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13 pages, no figures. To be published in Classical and Quantum Gravity. v2: major changes

Scientific paper

10.1088/0264-9381/26/12/125002

The Brown-Kuchar 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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