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 $\mu$ (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.
The speciality index and the Lifshitz-Khalatnikov Kasner index parametrization
Bini D;
2007
Abstract
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 $\mu$ (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.File in questo prodotto:
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