Periodic boundary conditions and cosmology
arXiv:2312.03285 · doi:10.1088/1361-6382/ad0b9f
Abstract
In the standard concordance cosmology the spatial curvature is assumed to be constant and zero (or at least very small). In particular, in numerical computations of the structure of the universe using N-body simulations, exact periodic boundary conditions are assumed which constrains the spatial curvature. In order to confirm this qualitatively, we numerically evolve a special class of spatially inhomogeneous models with both periodic initial data and non periodic initial data using zooming techniques. We consequently demonstrate that in these models periodic initial conditions do indeed suppress the growth of the spatial curvature as the models evolve away from their initial isotropic and spatially homogeneous state, thereby verifying that the spatial curvature is necessarily very small in standard cosmology.
10 pages, 3 figures. Matches published version
References in corpus (8)
- In the Realm of the Hubble tension a Review of Solutions
- Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
- KiDS-1000 Cosmology: Cosmic shear constraints and comparison between two point statistics
- Is the Observable Universe Consistent with the Cosmological Principle?
- Cosmic clocks, cosmic variance and cosmic averages
- What is dust? - Physical foundations of the averaging problem in cosmology
- Spikes in the Mixmaster regime of G_2 cosmologies
- Isolating non-linearities of light propagation in inhomogeneous cosmologies