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Recent developments concerning generic spacelike singularities
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics. (Fysik)
2013 (English)In: General Relativity and Gravitation, ISSN 0001-7701, E-ISSN 1572-9532, Vol. 45, 1669-1710 p.Article in journal (Refereed) Published
Abstract [en]

This is a review of recent progress concerning generic spacelikesingularities in general relativity. For brevity the main focus is on singularities in vacuum spacetimes, although the connection with, and the role of, matter for generic singularity formation is also commented on. The paper describes recent developments in two areas and show how these are connected within the context of the conformally Hubble-normalized state space approach. The first area is oscillatory singularities in spatially homogeneous cosmology and the connection between asymptotic behaviour and heteroclinic chains. The second area concerns oscillatory singularities in inhomogeneous models, especially spike chains and recurring spikes. The review also outlines some underlying reasons for why the structures that are the foundation for generic oscillatory behaviour exists at all, which entails discussing how underlying physical principles and applications of solutiongenerating techniques yield hierarchical structures and connections between them. Finally, it is pointed out that recent progress concerning generic singularities motivates some speculations that suggest that a paradigm shift concerning their physical role, and what mathematical issues to address,might be in order.

Place, publisher, year, edition, pages
Berlin: Springer , 2013. Vol. 45, 1669-1710 p.
Keyword [en]
Generic spacetime singularities
National Category
Physical Sciences
Research subject
URN: urn:nbn:se:kau:diva-27132DOI: 10.1007/s10714-013-1556-3ISI: 000322900500002OAI: diva2:618802

The paper is also available on arXiv:1304.6905

Available from: 2013-04-30 Created: 2013-04-30 Last updated: 2016-08-10Bibliographically approved

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Uggla, Claes
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