Truesdell invariance in relativistic electromagnetic fields

Details Truesdell invariance in relativistic electromagnetic fields Truesdell invariance in relativistic electromagnetic fields

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16....1w&link_type=abstract

General Relativity and Gravitation, Volume 16, Issue 1, pp.1-7

Physics

2

Scientific paper

The Truesdell derivative of a contravariant tensor fieldX ab is defined with respect to a null congruencel a analogous to the Truesdell stress rate in classical continuum mechanics. The dynamical consequences of the Truesdell invariance with respect to a timelike vectoru a of the stress-energy tensor characterizing a charged perfect fluid with null conductivity are the conservation of pressure (p), charged density (e) an expansion-free flow, constancy of the Maxwell scalars, and vanishing spin coefficientsα+¯β = ¯σ - λ = τ = 0 (assuming freedom conditionsk = λ = ɛ ψ + ¯γ = 0). The electromagnetic energy momentum tensor for the special subcases of Ruse-Synge classification for typesA andB are described in terms of the spin coefficients introduced by Newman-Penrose.

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