Dynamics of a perfect fluid through velocity potentials with aplication in quantum cosmology
General Relativity and Quantum Cosmology
2016-12-06 v2
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.
Keywords
Cite
@article{arxiv.1610.04589,
title = {Dynamics of a perfect fluid through velocity potentials with aplication in quantum cosmology},
author = {F. G. Alvarenga and R. Fracalossi and R. G. Furtado and S. V. B. Gonçalves},
journal= {arXiv preprint arXiv:1610.04589},
year = {2016}
}
Comments
26 pages, accepted for publication in Brazilian Journal of Physics, in press