Weyl tensor and shear-free perfect fluids

Journal Article · Sun Nov 30 23:00:00 EST 1975 · J. Math. Phys. (N.Y.), v. 16, no. 12, pp. 2361-2363

DOI:https://doi.org/10.1063/1.522497· OSTI ID:4136089

Glass, E N

It is proved that a necessary and sufficient condition for a shear-free perfect fluid to be irrotational is that the Weyl tensor be pure electric type. For shear-free isentropic flow with unit tangent u/sup alpha/, we find the conservation law del/sub alpha/(n$sup 1$$/$$sup 3$$i$$omega$ u/sup alpha/) =0, where i is the relativistic specific enthalpy, n is the conserved particle number density, and $omega$ is the vorticity scalar. (AIP)

• Research Organization: Department of Physics, University of Windsor, Windsor, Ontario N9B 3P4, Canada
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-011176
• OSTI ID: 4136089
• Journal Information: J. Math. Phys. (N.Y.), v. 16, no. 12, pp. 2361-2363, Journal Name: J. Math. Phys. (N.Y.), v. 16, no. 12, pp. 2361-2363; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

*GENERAL RELATIVITY THEORY-- FLUIDS
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ELECTROMAGNETIC FIELDS
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ROTATION
SHEAR
WEYL UNIFIED THEORY