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Träfflista för sökning "WFRF:(Ringström Hans 1972 ) srt2:(2010-2014)"

Sökning: WFRF:(Ringström Hans 1972 ) > (2010-2014)

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1.
  • Ringström, Hans, 1972- (författare)
  • On the future stability of cosmological solutions to Einstein's equations with accelerated expansion
  • 2014
  • Ingår i: PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II. - : KyungMoonSa Publishers. - 9788961058056 ; , s. 983-999
  • Konferensbidrag (refereegranskat)abstract
    • The solutions of Einstein's equations used by physicists to model the universe have a high degree of symmetry. In order to verify that they are reasonable models, it is therefore necessary to demonstrate that they are future stable under small perturbations of the corresponding initial data. The purpose of this contribution is to describe mathematical results that have been obtained on this topic. A question which turns out to be related concerns the topology of the universe: what limitations do the observations impose? Using methods similar to ones arising in the proof of future stability, it is possible to construct solutions with arbitrary closed spatial topology. The existence of these solutions indicate that the observations might not impose any limitations at all.
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2.
  • Ringström, Hans, 1972- (författare)
  • On the Topology and Future Stability of the Universe
  • 2013. - 1
  • Bok (refereegranskat)abstract
    • The subject of the book is the topology and future stability of models of the universe. In standard cosmology, the universe is assumed to be spatially homogeneous and isotropic. However, it is of interest to know whether perturbations of the corresponding initial data lead to similar solutions or not. This is the question of stability. It is also of interest to know what the limitations on the global topology imposed by observational constraints are. These are the topics addressed in the book. The theory underlying the discussion is the general theory of relativity. Moreover, in the book, matter is modelled using kinetic theory. As background material, the general theory of the Cauchy problem for the Einstein–Vlasov equations is therefore developed.
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