Lagrangian formalism for adiabatic fluids on five-dimensional space-time.

Details Lagrangian formalism for adiabatic fluids on five-dimensional space-time. Lagrangian formalism for adiabatic fluids on five-dimensional space-time.

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cajph..64..185k&link_type=abstract

Can. J. Phys., Vol. 64, No. 2, p. 185 - 189

Physics

Fluid Dynamics

6

Fluid Dynamics:Gravitation Theory, General Relativity:Space-Time, Gravitation Theory:Fluid Dynamics, Gravitation Theory:Space-Time

Scientific paper

The recently developed Lagrangian formalism on extended five-dimensional space-time that permits a unified description of general relativistic and gravitating nonrelativistic classical fields is applied to a model of an adiabatic perfect fluid described in terms of Lagrangian coordinates. The Lagrangian density is chosen as an arbitrary Lorentz- (or Galilei-) invariant function of the 5-current vector and leads, by variation with respect to frame fields, to a 5-stress-energy tensor, whose additional components are naturally interpreted as an entropy-flux vector.

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