Causal structure of general relativistic spacetimes

Research output: Contribution to journalConference paper

Abstract

We present some of the recent results and open questions on the causality problem in General Relativity. The concept of singularity is intimately connected with future trapped surface and inner event horizon formation. We offer a brief overview of the Hawking-Penrose singularity theorems and discuss a few open problems concerning the future Cauchy development, break-down criteria and energy conditions for the horizon stability. A key question is whether causality violating regions, generating a Cauchy horizon are allowed. We raise several questions concerning the invisibility and stability of closed trapped surfaces from future null infinity and derive the imprisonment conditions. We provide an up-to-date perspective of the causal boundaries and spacelike conformal boundary extensions for time oriented Lorentzian manifolds and more exotic settings.
Original languageEnglish
Pages (from-to)127-130
Number of pages4
JournalAIP Conference Proceedings
DOIs
Publication statusPublished - 2010
EventInternational Symposium on (10th : 2009) - Perth
Duration: 24 Nov 200926 Nov 2009

Keywords

  • singularly perturbed systems
  • Hilbert spaces
  • conformal field theory
  • causality
  • general relativity
  • causal structure
  • cosmic censorship
  • Cauchy hypersurface
  • singularity theorems
  • global hyperbolicity

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