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

Abstract

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.

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

References in corpus (4)

• Reconstructing Dark Energy
• Solving the Problem of Time in General Relativity and Cosmology with Phantoms and k -- Essence
• Boost invariance of the gravitational field dynamics: quantization without time gauge
• General Relativity as Classical Limit of Evolutionary Quantum Gravity

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• Is Bianchi I a Bouncing Cosmology in the Wheeler-DeWitt picture?
• Nonsingular cosmology from evolutionary quantum gravity
• Time evolution in quantum cosmology
• Propagator of a scalar field on a stationary slowly varying gravitational background
• Two-dimensional quantum dilaton gravity and the quantized cosmological constant