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 (2)

• Dynamical laws of superenergy in General Relativity
• On the algebraic types of the Bel-Robinson tensor

Cited by in corpus (1)

• Algebraic classification of the Weyl tensor in higher dimensions based on its "superenergy" tensor