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arXiv · 2002.02119

Stabilizing relativistic fluids on spacetimes with non-accelerated expansion

David Fajman·Todd A. Oliynyk·Zoe Wyatt
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Abstract

We establish global regularity and stability for the irrotational relativistic Euler equations with equation of state $\overline{p}=K\overline{\rho}$, where $0<K<1/3$, for small initial data in the expanding direction of FLRW spacetimes of the form $(\mathbb R\times\mathbb T^3,-d\tb^2+\tb^2\delta_{ij} dx^i dx^j)$. This provides the first case of non-dust fluid stabilization by spacetime expansion where the expansion rate is of power law type but non-accelerated. In particular, the time integral of the inverse scale factor diverges as $t\rightarrow\infty$.

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David Fajman, Todd A. Oliynyk, Zoe Wyatt. 2020-02-06. Stabilizing relativistic fluids on spacetimes with non-accelerated expansion. https://doi.org/10.1007/s00220-020-03924-9

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