Shell-crossing in a ΛCDM Universe
- Author(s)
- Cornelius Rampf, Oliver Hahn
- Abstract
Perturbation theory is an indispensable tool for studying the cosmic large-scale structure, and establishing its limits is therefore of utmost importance. One crucial limitation of perturbation theory is shell-crossing, which is the instance when cold-dark-matter trajectories intersect for the first time. We investigate Lagrangian perturbation theory (LPT) at very high orders in the vicinity of the first shell-crossing for random initial data in a realistic three-dimensional Universe. For this, we have numerically implemented the all-order recursion relations for the matter trajectories, from which the convergence of the LPT series at shell-crossing is established. Convergence studies performed at large orders reveal the nature of the convergence-limiting singularities. These singularities are not the well-known density singularities at shell-crossing but occur at later times when LPT already ceased to provide physically meaningful results.
- Organisation(s)
- Department of Mathematics, Department of Astrophysics
- External organisation(s)
- Université Côte d'Azur
- Journal
- Monthly Notices of the Royal Astronomical Society: Letters
- Volume
- 501
- Pages
- L71-L75
- No. of pages
- 5
- ISSN
- 1745-3925
- Publication date
- 02-2021
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103004 Astrophysics, 103044 Cosmology, 101028 Mathematical modelling
- Keywords
- ASJC Scopus subject areas
- Astronomy and Astrophysics, Space and Planetary Science
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/aae27650-af49-45b3-8073-4525748f4ce6