Search: onr:"swepub:oai:gup.ub.gu.se/238640" >
Proof of the cosmic...
-
Andreasson, Håkan,1966Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers
(author)
Proof of the cosmic no-hair conjecture in the T-3-Gowdy symmetric Einstein-Vlasov setting
- Article/chapterEnglish2016
Publisher, publication year, extent ...
-
EMS Publishing House,2016
Numbers
-
LIBRIS-ID:oai:gup.ub.gu.se/238640
-
https://gup.ub.gu.se/publication/238640URI
-
https://doi.org/10.4171/JEMS/623DOI
-
https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-203334URI
Supplementary language notes
Part of subdatabase
Classification
-
Subject category:ref swepub-contenttype
-
Subject category:art swepub-publicationtype
Notes
-
QC 20170320
-
The currently preferred models of the universe undergo accelerated expansion induced by dark energy. One model for dark energy is a positive cosmological constant. It is consequently of interest to study Einstein's equations with a positive cosmological constant coupled to matter satisfying the ordinary energy conditions: the dominant energy condition etc. Due to the difficulty of analysing the behaviour of solutions to Einstein's equations in general, it is common to either study situations with symmetry, or to prove stability results. In the present paper, we do both. In fact, we analyse, in detail, the future asymptotic behaviour of T-3-Gowdy symmetric solutions to the Einstein-Vlasov equations with a positive cosmological constant. In particular, we prove the cosmic no-hair conjecture in this setting. However, we also prove that the solutions are future stable (in the class of all solutions). Some of the results hold in a more general setting. In fact, we obtain conclusions concerning the causal structure of T-2-symmetric solutions, assuming only the presence of a positive cosmological constant, matter satisfying various energy conditions and future global existence. Adding the assumption of T-3-Gowdy symmetry to this list of requirements, we obtain C-0-estimates for all but one of the metric components. There is consequently reason to expect that many of the results presented in this paper can be generalised to other types of matter.
Subject headings and genre
Added entries (persons, corporate bodies, meetings, titles ...)
-
Ringström, Hans,1972-KTH,Matematik (Avd.),Differential geometry and mathematical physics(Swepub:kth)u15afxj9
(author)
-
Göteborgs universitetInstitutionen för matematiska vetenskaper
(creator_code:org_t)
Related titles
-
In:Journal of the European Mathematical Society: EMS Publishing House18:7, s. 1565-16501435-98551435-9863
Internet link
Find in a library
To the university's database