Spinor classification of the Weyl tensor in five dimensions

Mahdi Godazgar (1)

1 DAMTP - Department of Applied Mathematics and Theoretical Physics [Cambridge]

We investigate the spinor classification of the Weyl tensor in five dimensions due to De Smet. We show that a previously overlooked reality condition reduces the number of possible types in the classification. We classify all vacuum solutions belonging to the most special algebraic type. The connection between this spinor and the tensor classification due to Coley, Milson, Pravda and Pravdová is investigated and the relation between most of the types in each of the classifications is given. We show that the black ring is algebraically general in the spinor classification.

Keywords: Physical Sciences

Mahdi Godazgar. Spinor classification of the Weyl tensor in five dimensions. Classical and Quantum Gravity, 2010, 27 (24), pp.245013. ⟨10.1088/0264-9381/27/24/245013⟩. ⟨hal-00654152⟩