PDE och tillämpningar: Stability Within Expanding Cosmological Spacetimes

  • Datum: –11.15
  • Plats: Ångströmlaboratoriet 64119
  • Föreläsare: Adam Layne
  • Arrangör: Matematiska institutionen
  • Kontaktperson: Kaj Nyström
  • Seminarium

Abstract: There exist broad conjectures about the future behavior of expanding cosmological models. What do randomly chosen observers see at the moment of expansion? Are the classical cosmological models stable as solutions of the Einstein Field Equations? If one imposes some strong assumptions, work of Hans Ringström shows that one can form a homeomorphism between data at a finite time and data at the moment of expansion. On the other hand, I will present both theorems and numerical evidence that such cosmological models are unstable. I will then describe the implications our examples have on the previously mentioned conjectures.