The Stability of Relativistic Fluids in Linearly Expanding Cosmologies
- Author(s)
- David Fajman, Maximilian Ofner, Todd A Oliynyk, Zoe Wyatt
- Abstract
In this paper, we study cosmological solutions to the Einstein–Euler equations. We first establish the future stability of nonlinear perturbations of a class of homogeneous solutions to the relativistic Euler equations on fixed linearly expanding cosmological spacetimes with a linear equation of state for the parameter values . This removes the restriction to irrotational perturbations in earlier work [ 15] and relies on a novel transformation of the fluid variables that is well-adapted to Fuchsian methods. We then apply this new transformation to show the global regularity and stability of the Milne spacetime under the coupled Einstein–Euler equations, again with a linear equation of state , . Our proof requires a correction mechanism to account for the spatially curved geometry. In total, this is indicative that structure formation in cosmological fluid-filled spacetimes requires an epoch of decelerated expansion.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Monash University, King's College London
- Journal
- International Mathematics Research Notices
- Volume
- 2024
- Pages
- 4328–4383
- No. of pages
- 56
- ISSN
- 1073-7928
- DOI
- https://doi.org/10.48550/arXiv.2301.11191
- Publication date
- 10-2023
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103019 Mathematical physics, 103028 Theory of relativity
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/the-stability-of-relativistic-fluids-in-linearly-expanding-cosmologies(aa26abb6-8f89-4a2b-960a-2fdfafb05821).html