Euler observers for the perfect fluid without vorticity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Jul 2019 English Publisher:Springer Science and Business Media LLCJournal:Zeitschrift für angewandte Mathematik und Physik, volume 70 (issn: 0044-2275, eissn: 1420-9039,

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Authors: Alcides Garat;

doi: 10.1007/s00033-019-1164-5 , 10.5281/zenodo.60007

Euler observers for the perfect fluid without vorticity

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Abstract

The perfect fluid was already studied for the case where there is vorticity. A new technique was developed in order to locally and covariantly diagonalize the perfect fluid stress-energy tensor. New tetrads were introduced to this purpose. In this manuscript we will analyze the case where there is no vorticity. We will show how to implement for this case the diagonalization algorithm previously built for the case with vorticity. A novel technique will be introduced based only on purely geometrical objects. As an application, a new algorithm will be formulated with the aim of finding Euler observers for this case without vorticity.

Related Organizations

University of the Republic
Uruguay
Universidad La República
Chile

Keywords

Killing vector fields, 4-dim curved Lorentzian spacetimes, Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory, Equations of motion in general relativity and gravitational theory, Euler observers, Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics, new tetrads, no vorticity, Einstein's equations (general structure, canonical formalism, Cauchy problems), perfect fluid, Hydrodynamic and hydromagnetic problems in astronomy and astrophysics, Perfect fluid, New tetrad, Covariant diagonalization stress-energy tensor with or without artificial viscosity.

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