The Speciality Index as invariant indicator in the BKL Mixmaster Dynamics

Abstract

The speciality index, which has been mainly used in Numerical Relativity for studying gravitational waves phenomena as an indicator of the special or non-special Petrov type character of a spacetime, is applied here in the context of Mixmaster cosmology, using the Belinski-Khalatnikov-Lifshitz map. Possible applications for the associated chaotic dynamics are discussed.

References in corpus (3)

• Numerical Approaches to Spacetime Singularities
• A Radiation Scalar for Numerical Relativity
• Petrov classification of perturbed spacetimes: the Kasner example

Cited by in corpus (8)

• Classical and Quantum Features of the Mixmaster Singularity
• Spike Oscillations
• Mixmaster: Fact and Belief
• Quasi-isotropic cycles and non-singular bounces in a Mixmaster cosmology
• Gravitational self-force corrections to tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime
• EBWeyl: a Code to Invariantly Characterize Numerical Spacetimes
• Spike statistics
• Electrocardiogram of the Mixmaster Universe