Geometric Interpretation of the Mixed Invariants of the Riemann Spinor

Details Geometric Interpretation of the Mixed Invariants of the Riemann Spinor Geometric Interpretation of the Mixed Invariants of the Riemann Spinor

1995-07-04

arxiv.org/abs/gr-qc/9507007v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, AMS-LaTeX

Scientific paper

10.1007/BF02105089

Mixed invariants are used to classify the Riemann spinor in the case of Einstein-Maxwell fields and perfect fluids. In the Einstein-Maxwell case these mixed invariants provide information as to the relative orientation of the gravitational and electromagnetic principal null directions. Consideration of the perfect fluid case leads to some results about the behaviour of the Bel-Robinson tensor regarded as a quartic form on unit timelike vectors.

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