Causal structure of general relativistic spacetimes
- Macquarie University, Sydney (Australia)
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 (domain of dependence), 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.
- OSTI ID:
- 21366971
- Journal Information:
- AIP Conference Proceedings, Vol. 1246, Issue 1; Conference: 10. international symposium on frontiers of fundamental and computational physics, Perth, WA (Australia), 24-26 Nov 2009; Other Information: DOI: 10.1063/1.3460187; (c) 2010 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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