Dynamics of a perfect fluid through velocity potentials with aplication in quantum cosmology

Abstract

We review the Eulerian description of hidrodynamics using Seliger-Whitham's formalism (in classical case) and Schutz's formalism (in relativistic case). In these formalisms, the velocity field of a perfect fluid is described by scalar potentials. With this we can obtain the evolution equations of the fluid and its Hamiltonian. In the scenario of quantum cosmology the Schutz's formalism makes it possible to introduce phenomenologically a time variable in minisuperspace models.

26 pages, accepted for publication in Brazilian Journal of Physics, in press

References in corpus (5)

• Quantum FRW cosmological solutions in the presence of Chaplygin gas and perfect fluid
• Restoring unitarity in anisotropic quantum cosmological models
• Addressing the issue of non-unitarity in anisotropic quantum cosmology
• Wheeler-DeWitt quantization and singularities
• Quantized Brans Dicke Theory: Phase Transition and Strong Coupling (Large $\omega$) Limit & General Relativity

Cited by in corpus (1)

• Aspects of Quantum Cosmology