Slowly Expanding Stable Dust Spacetimes
- Author(s)
- David Fajman, Maximilian Ofner, Zoe Wyatt
- Abstract
We establish the future nonlinear stability of a large class of FLRW models as solutions to the Einstein-Dust system. We consider the case of a vanishing cosmological constant, which, in particular implies that the expansion rate of the respective models is linear, i.e. has zero acceleration. The resulting spacetimes are future globally regular. These solutions constitute the first generic class of future regular Einstein-Dust spacetimes not undergoing accelerated expansion and are thereby the slowest expanding generic family of future complete Einstein-Dust spacetimes currently known.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- University of Cambridge
- Journal
- Archive for Rational Mechanics and Analysis
- Volume
- 248
- No. of pages
- 66
- ISSN
- 0003-9527
- DOI
- https://doi.org/10.48550/arXiv.2107.00457
- Publication date
- 10-2024
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103019 Mathematical physics
- Keywords
- ASJC Scopus subject areas
- Analysis, Mathematics (miscellaneous), Mechanical Engineering
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/slowly-expanding-stable-dust-spacetimes(609311a2-ba69-4f18-bd91-5fcbcde0e0e6).html