On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization - Université Claude Bernard Lyon 1 Accéder directement au contenu
Article Dans Une Revue Universe Année : 2022

On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization

Résumé

The Newtonian Lagrangian perturbation theory is a widely used framework to study structure formation in cosmology in the weakly nonlinear regime. We review a general-relativistic formulation of such a perturbation approach, emphasizing results on already developed extensive formalism including among other aspects: the non-perturbative modeling of Ricci and Weyl curvatures, gravitational waves and pressure-supported fluids. We discuss subcases of exact solutions related to Szekeres Class II and, as exact average model, Ricci-flat LTB models. This latter forms the basis of a generalization that we then propose in terms of a scheme that goes beyond the relativistic Lagrangian perturbation theory on a global homogeneous-isotropic background cosmology. This new approximation does not involve a homogeneous reference background and it contains Szekeres class I (and thus general LTB models) as exact subcases. Most importantly, this new approximation allows for the interaction of structure with an evolving `background cosmology', conceived as a spatial average model, and thus includes cosmological backreaction.
Fichier principal
Vignette du fichier
universe-08-00583.pdf (2.21 Mo) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-03815153 , version 1 (19-03-2023)

Licence

Paternité

Identifiants

Citer

Thomas Buchert, Ismael Delgado Gaspar, Jan Jakub Ostrowski. On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization. Universe, 2022, 8 (11), pp.583. ⟨10.3390/universe8110583⟩. ⟨hal-03815153⟩
37 Consultations
35 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More