Dynamics of a Perfect Fluid Through Velocity Potentials with Application in Quantum Cosmology

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• 作者：F. G. Alvarenga ; R. Fracalossi ; R. G. Furtado…
• 关键词：Non ; relativistic and relativistic hydrodynamics ; Action principle of the perfect fluid ; Quantum cosmology
• 刊名：Brazilian Journal of Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：47
• 期：1
• 页码：96-105
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general;
• 出版者：Springer US
• ISSN：1678-4448
• 卷排序：47

文摘

We review the Eulerian description of hydrodynamics 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.