Stability of asymptotic behaviour within polarized [Formula: see text]-symmetric vacuum solutions with cosmological constant.

big bang asymptotics mathematical cosmology stability

Journal

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
ISSN: 1471-2962
Titre abrégé: Philos Trans A Math Phys Eng Sci
Pays: England
ID NLM: 101133385

Informations de publication

Date de publication:
02 May 2022
Historique:
entrez: 14 3 2022
pubmed: 15 3 2022
medline: 15 3 2022
Statut: ppublish

Résumé

We prove the nonlinear stability of the asymptotic behaviour of perturbations of subfamilies of Kasner solutions in the contracting time direction within the class of polarized [Formula: see text]-symmetric solutions of the vacuum Einstein equations with arbitrary cosmological constant [Formula: see text]. This stability result generalizes the results proven in Ames E

Identifiants

pubmed: 35282687
doi: 10.1098/rsta.2021.0173
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

20210173

Auteurs

Ellery Ames (E)

Department of Mathematics, Humboldt State University, 1 Harpst St. Arcata, CA 95521, USA.

Florian Beyer (F)

Department of Mathematics and Statistics, 730 Cumberland St, University of Otago, Dunedin 9016, New Zealand.

James Isenberg (J)

Department of Mathematics and Institute for Fundamental Science, University of Oregon, Eugene, OR 97403, USA.

Todd A Oliynyk (TA)

School of Mathematical Sciences, 9 Rainforest Walk, Monash University, Victoria 3800, Australia.

Classifications MeSH