

Article
A Generalized Fermi Derivative and Dissipative Gas Dynamics Equations
Authors: 
Söderholm, L. H. S. 
Document Type: 
Article 
Pubstate: 
Published 
Journal: 
Class. Quantum Grav. 
Volume: 
16
22259 
Year: 
1999 
AbstractA generalized Fermi derivative associated with the relativistic flow of a continuum is introduced. The derivatives of the metric tensor and the fourvelocity field vanish. The corresponding transport is nonrotating. The derivative has torsion. When taken along a worldline of the continuum, the derivative reduces to the wellknown Fermi derivative, connected with FermiWalker propagation. The vanishing of the generalized Fermi derivative of a vector along a curve implies that the vector is boosted with the fourvelocity. The derivative commutes with the projection operators associated with the fourvelocity field. The 14 moments dissipative gas dynamic equations of Israel and Stewart (besides the equations of conservation of mass and energymomentum) are formulated in terms of the generalized Fermi derivative and combined into one single equation for the dissipative part of the energymomentum tensor.

