PDE och tillämpningar: Quasi-local mass in general relativity and some recent developments on Bartnik's definition

  • Datum:
  • Plats: Ångströmlaboratoriet 64119
  • Föreläsare: Stephen McCormick
  • Kontaktperson: Kaj Nyström
  • Seminarium

Abstract: The problem of quasi-local mass in general relativity is the problem of assigning some meaningful notion of the total mass (or energy) contained in a bounded domain (compact Riemannian manifold with boundary). We first will give an introduction to the problem and discuss some proposed definitions of quasi-local mass, before turning to discuss some recent progress on understanding the definition due to Bartnik. We will discuss a method to obtain estimates of the Bartnik mass in the CMC case, and briefly mention how these estimates can be used to obtain estimates outside of the CMC case. The work presented here include results obtained in collaboration with Armando Cabrera Pacheco, Carla Cederbaum, and Pengzi Miao.