onr:"swepub:oai:DiVA.org:kth-220393"
Search: onr:"swepub:oai:DiVA.org:kth-220393" > Strong Cosmic Censo...
- 1 of 1
- Previous record
- Next record
- To hitlist
Strong Cosmic Censorship in orthogonal Bianchi class B perfect fluid and vacuum models
-
- Radermacher, Katharina Maria, 1987- (author)
- KTH,Matematik (Avd.)
- KTH Matematik (Avd) (creator_code:org_t)
- English.
- Other publication (other academic/artistic)
Abstract
Subject headings
Close
- The Strong Cosmic Censorship conjecture states that for generic initial data to Einstein's field equations, the maximal globally hyperbolic development is inextendible. We prove this conjecture in the class of orthogonal Bianchi class B perfect fluids and vacuum spacetimes, by showing that unboundedness of certain curvature invariants such as the Kretschmann scalar is a generic property. The only spacetimes where this scalar remains bounded exhibit local rotational symmetry or are of plane wave equilibrium type.We further investigate the qualitative behaviour of solutions towards the initial singularity. To this end, we work in the expansion-normalised variables introduced by Hewitt-Wainwright and show that a set of full measure, which is also a countable intersection of open and dense sets in the state space, yields convergence to a specific subarc of the Kasner parabola. We further give an explicit construction enabling the translation between these variables and geometric initial data to Einstein's equations.
Subject headings
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- cosmic censorship
- Bianchi
- class B
- spatially homogeneous
- prefect fluid
- vacuum
- curvature
- blow-up
- Mathematics
- Matematik
Publication and Content Type
- vet (subject category)
- ovr (subject category)
To the university's database
- 1 of 1
- Previous record
- Next record
- To hitlist
Find more in SwePub
- By the author/editor
- Radermacher, Kat ...
- About the subject
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
- and Geometry
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
- and Mathematical Ana ...
- By the university
- Royal Institute of Technology
Search outside SwePub
- Extend your search to:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - National Library Systems
- LIBRIS.kb.se
