Bianchi types of Lie point symmetries arising for differentially rotating stationary axisymmetric fluids

Details Bianchi types of Lie point symmetries arising for differentially rotating stationary axisymmetric fluids Bianchi types of Lie point symmetries arising for differentially rotating stationary axisymmetric fluids

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990an....311..283g&link_type=abstract

Astronomische Nachrichten (ISSN 0004-6337), vol. 311, no. 5, 1990, p. 283-286.

Astronomy and Astrophysics

Astronomy

Axisymmetric Flow, Einstein Equations, Lie Groups, Relativistic Theory, Rotating Fluids, Space-Time Functions, Flux Density, Ideal Fluids, Kinematics

Scientific paper

The Einstein field equations for a perfect fluid with two commuting Killing vectors, which span the fluid's four-velocity, are considered. A third spacetime symmetry, which is a homothetic or a Killing vector, can be used to reduce these equations to a system of ordinary differential equations. This symmetry restricts the form of the differential rotation of the fluid. A Bianchi classification of the resulting Lie algebras is performed and related to the kinematical properties of the fluid.

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