The Speciality Index as invariant indicator in the BKL Mixmaster Dynamics

TL;DR

This paper explores the use of the speciality index as an invariant indicator to analyze the chaotic dynamics of Mixmaster cosmology within the BKL framework, extending its application beyond gravitational wave studies.

Contribution

It introduces the application of the speciality index as an invariant measure in Mixmaster cosmology, providing new insights into its chaotic behavior.

Findings

Speciality index effectively characterizes Mixmaster dynamics.

Invariant indicator reveals properties of chaos in cosmological models.

Potential for broader applications in gravitational physics.

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.