English

Causality violation and singularities

General Relativity and Quantum Cosmology 2011-07-19 v1

Abstract

We show that singularities necessarily occur when a boundary of causality violating set exists in a space-time under the physically suitable assumptions except the global causality condition in the Hawking-Penrose singularity theorems. Instead of the global causality condition, we impose some restrictions on the causality violating sets to show the occurrence of singularities.

Keywords

Cite

@article{arxiv.gr-qc/9606075,
  title  = {Causality violation and singularities},
  author = {Kengo Maeda and Akihiro Ishibashi},
  journal= {arXiv preprint arXiv:gr-qc/9606075},
  year   = {2011}
}

Comments

11 pages, latex, 2 eps figures