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Title: Causal structure of general relativistic spacetimes

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 (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.

Authors:
 [1]
  1. Macquarie University, Sydney (Australia)
Publication Date:
OSTI Identifier:
21366971
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1246; Journal 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
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CAUSALITY; CONFORMAL INVARIANCE; GENERAL RELATIVITY THEORY; HILBERT SPACE; QUANTUM FIELD THEORY; RELATIVISTIC RANGE; SINGULARITY; SPACE-TIME; BANACH SPACE; ENERGY RANGE; FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL SPACE; RELATIVITY THEORY; SPACE

Citation Formats

Howard, Ecaterina. Causal structure of general relativistic spacetimes. United States: N. p., 2010. Web. doi:10.1063/1.3460187.
Howard, Ecaterina. Causal structure of general relativistic spacetimes. United States. doi:10.1063/1.3460187.
Howard, Ecaterina. Tue . "Causal structure of general relativistic spacetimes". United States. doi:10.1063/1.3460187.
@article{osti_21366971,
title = {Causal structure of general relativistic spacetimes},
author = {Howard, Ecaterina},
abstractNote = {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.},
doi = {10.1063/1.3460187},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1246,
place = {United States},
year = {Tue Jun 15 00:00:00 EDT 2010},
month = {Tue Jun 15 00:00:00 EDT 2010}
}
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