Algebraic invariants of the Riemann tensor in a four‐dimensional Lorentzian space

Algebraic invariants of the Riemann tensor in a four‐dimensional Lorentzian space

A set of 16 scalar invariants is given of the Riemann tensor which is shown to contain complete minimal sets in the Einstein–Maxwell and perfect fluid cases. All previously known sets fail to be complete in the perfect fluid case.

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Veröffentlicht in:Journal of mathematical physics 1991-11, Vol.32 (11), p.3135-3140
Hauptverfasser: Carminati, J., McLenaghan, R. G.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
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Beschreibung
Zusammenfassung:A set of 16 scalar invariants is given of the Riemann tensor which is shown to contain complete minimal sets in the Einstein–Maxwell and perfect fluid cases. All previously known sets fail to be complete in the perfect fluid case.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.529470