Algebraic classification of five-dimensional spacetimes using scalar invariants

Details Algebraic classification of five-dimensional spacetimes using scalar invariants Algebraic classification of five-dimensional spacetimes using scalar invariants

2011-05-12

arxiv.org/abs/1105.2355v1

Class.Quant.Grav.28:155016,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/28/15/155016

There are a number of algebraic classifications of spacetimes in higher dimensions utilizing alignment theory, bivectors and discriminants. Previous work gave a set of necessary conditions in terms of discriminants for a spacetime to be of a particular algebraic type. We demonstrate the discriminant approach by applying the techniques to the Sorkin-Gross-Perry soliton, the supersymmetric and doubly-spinning black rings and some other higher dimensional spacetimes. We show that even in the case of some very complicated metrics it is possible to compute the relevant discriminants and extract useful information from them.

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