Irreducible bilinear tensorial concomitants of an arbitrary complex bivector

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dc.creatorCarozzi, T. D.
dc.creatorBergman, J. E. S.
dc.date2005-09-11
dc.date.accessioned2026-07-07T04:32:20Z
dc.date.available2026-07-07T04:32:20Z
dc.descriptionIrreducible bilinear tensorial concomitants of an arbitrary complex antisymmetric valence-2 tensor are derived in four-dimensional spacetime. In addition these bilinear concomitants are symmetric (or antisymmetric), self-dual (or anti-self-dual), and hermitian forms in the antisymmetric tensor. An important example of an antisymmetric valence-2 tensor, or bivector, is the electromagnetic field strength tensor which ordinarily is taken to be real-valued. In generalizing to complex-valued bivectors, the authors find the hermitian form versions of the well-known electromagnetic scalar invariants and stress-energy-momentum tensor, but also discover several novel tensors of total valence 2 and 4. These tensors have algebraic similarities to the Riemann, Weyl, and Ricci tensors.
dc.description9 pages, 0 figures, submitted to J. Math. Phys
dc.identifierhttps://arxiv.org/abs/math-ph/0509019
dc.identifierhttp://arxiv.org/abs/math-ph/0509019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58152
dc.subjectMathematical Physics
dc.subject15A72 (Primary) 78A25, 83A05 (Secondary)
dc.titleIrreducible bilinear tensorial concomitants of an arbitrary complex bivector
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