6533b825fe1ef96bd1282037

RESEARCH PRODUCT

Obtaining the Weyl tensor from the Bel-Robinson tensor

Joan Josep FerrandoJuan Antonio Sáez

subject

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

description

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.

10.1007/s10714-009-0921-8http://arxiv.org/abs/1010.1123