Causality violation and singularities

Details Causality violation and singularities Causality violation and singularities

1996-06-27

arxiv.org/abs/gr-qc/9606075v1

Class.Quant.Grav.13:2569-2576,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, latex, 2 eps figures

Scientific paper

10.1088/0264-9381/13/9/020

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.

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