Algebraic and differential Rainich conditions for symmetric trace-free tensors of higher rank

DOI10.1098/rspa.2004.1411zbMath1206.83109arXivgr-qc/0405004OpenAlexW2143502687MaRDI QIDQ5427617

Göran Bergqvist, P. Lankinen

Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0405004

zbMATH Keywords

spinorsgeneral relativityBel-Robinson tensorsuperenergy tensorsRainich conditions

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (4)

Essential core of the Hawking–Ellis types ⋮ Rainich conditions in (2 + 1)-dimensional gravity ⋮ Generalized Rainich conditions, generalized stress–energy conditions, and the Hawking–Ellis classification ⋮ Hawking–Ellis type III spacetime geometry

Cites Work

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• Classical Physics as geometry. Gravitation, electromagnetism, unquantized charge, and mass as properties of curved empty space
• Unique characterization of the Bel–Robinson tensor
• Positivity properties of the Bel–Robinson tensor
• Null cone preserving maps, causal tensors and algebraic Rainich theory
• Super-energy tensors
• The Cotton tensor in Riemannian spacetimes
• Algebraic Rainich theory and antisymmetrization in higher dimensions

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