The speciality index and the Lifshitz Khalatnikov Kasner index parametrization

Mathematics

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Scientific paper

The speciality index function {\mathcal S} for any Petrov type I, II or D spacetime is shown to be a natural function of a single complex scalar quantity μ (natural modulo permutation symmetries). For the family of Kasner spacetimes, this quantity is a function of the Kasner indices alone which coincides with the real Lifshitz Khalatnikov parameter u for those indices.

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