Obtaining the Weyl tensor from the Bel-Robinson tensor

Abstract

The algebraic study of the Bel-Robinson tensor proposed and initiated in a previous work (Gen. Relativ. Gravit. {\bf 41}, see ref [11]) is achieved. The canonical form of the different algebraic types is obtained in terms of Bel-Robinson eigen-tensors. An algorithmic determination of the Weyl tensor from the Bel-Robinson tensor is presented.

21 pages

References in corpus (6)

• Super-energy tensors
• Dynamical laws of superenergy in General Relativity
• A Rainich-like approach to the Killing-Yano tensors
• Unique characterization of the Bel-Robinson tensor
• Aligned electric and magnetic Weyl fields
• On the algebraic types of the Bel-Robinson tensor

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