Shell-crossing in a ΛCDM Universe

Autor(en)

Cornelius Rampf, Oliver Hahn

Abstrakt

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(en)

Institut für Mathematik, Institut für Astrophysik

Externe Organisation(en)

Université Côte d'Azur

Journal

Monthly Notices of the Royal Astronomical Society: Letters

Band

501

Seiten

L71-L75

Anzahl der Seiten

5

ISSN

1745-3925

Publikationsdatum

02-2021

Peer-reviewed

Ja

ÖFOS 2012

103004 Astrophysik, 103044 Kosmologie, 101028 Mathematische Modellierung

Schlagwörter

ASJC Scopus Sachgebiete

Astronomy and Astrophysics, Space and Planetary Science

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/aae27650-af49-45b3-8073-4525748f4ce6