Search results for "Algebraic data type"

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Obtaining the Weyl tensor from the Bel-Robinson tensor

2010

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.

PhysicsWeyl tensorPhysics and Astronomy (miscellaneous)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum Cosmologysymbols.namesakeGeneral Relativity and Quantum CosmologyTensor (intrinsic definition)symbolsAlgebraic data typeCanonical formAlgebraic numberMathematics::Representation TheoryMathematical physics
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On the algebraic types of the Bel–Robinson tensor

2008

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.

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 numberGeneral Relativity and Gravitation
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