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    Mixmaster fluids near the big bang

    Elliot Marshall*

    • School of Mathematics, Monash University, 9 Rainforest Walk, Melbourne, Victoria 3800, Australia

    • *Contact author: elliot.marshall@monash.edu

    Phys. Rev. D 113, 024053 – Published 23 January, 2026

    DOI: https://doi.org/10.1103/86cf-6yct

    Abstract

    We numerically study the approach to the singularity in T2-symmetric cosmological spacetimes containing a nonstiff perfect fluid satisfying a linear equation of state p=Kρ, K∈[0,1). Near the singularity, the dynamics are found to be local and oscillatory. In particular, our results show, for the first time, that the fluid velocity in inhomogeneous cosmologies develops mixmaster-esque oscillations consistent with the generalized Belinskiĭ, Khalatnikov, and Lifschitz conjecture of Uggla et al. Moreover, we find these fluid oscillations are responsible for the development of local inhomogeneities in the matter density of the early Universe.

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