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RESEARCH PRODUCT
On the algebraic types of the Bel–Robinson tensor
Joan Josep FerrandoJuan Antonio Sáezsubject
Weyl tensorPhysicsPure mathematicsPhysics and Astronomy (miscellaneous)Degenerate energy levelsFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Type (model theory)Space (mathematics)General Relativity and Quantum CosmologyLinear mapGeneral Relativity and Quantum Cosmologysymbols.namesakeAlgebraic data typesymbolsTensorAlgebraic numberdescription
The Bel-Robinson tensor is analyzed as a linear map on the space of the traceless symmetric tensors. This study leads to an algebraic classification that refines the usual Petrov-Bel classification of the Weyl tensor. The new classes correspond to degenerate type I space-times which have already been introduced in literature from another point of view. The Petrov-Bel types and the additional ones are intrinsically characterized in terms of the sole Bel-Robinson tensor, and an algorithm is proposed that enables the different classes to be distinguished. Results are presented that solve the problem of obtaining the Weyl tensor from the Bel-Robinson tensor in regular cases.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-07-01 | General Relativity and Gravitation |