English

Mixmaster Fluids Near the Big Bang

General Relativity and Quantum Cosmology 2026-01-27 v2

Abstract

We numerically study the approach to the singularity in T2\mathbb{T}^{2}-symmetric cosmological spacetimes containing a non-stiff perfect fluid satisfying a linear equation of state p=Kρp=K\rho, K[0,1)K \in [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 generalised BKL 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.

Keywords

Cite

@article{arxiv.2512.11375,
  title  = {Mixmaster Fluids Near the Big Bang},
  author = {Elliot Marshall},
  journal= {arXiv preprint arXiv:2512.11375},
  year   = {2026}
}

Comments

Material added to address referee comments, discussion of equations condensed, appendices removed. Agrees with published version. 22 pages, 10 figures

R2 v1 2026-07-01T08:21:56.862Z