No time machines in classical general relativity
General Relativity and Quantum Cosmology
2014-02-14 v4 Differential Geometry
Abstract
Irrespective of local conditions imposed on the metric, any extendible spacetime U has a maximal extension containing no closed causal curves outside the chronological past of U. We prove this fact and interpret it as impossibility (in classical general relativity) of the time machines, insofar as the latter are defined to be causality-violating regions created by human beings (as opposed to those appearing spontaneously).
Cite
@article{arxiv.gr-qc/0111054,
title = {No time machines in classical general relativity},
author = {S. Krasnikov},
journal= {arXiv preprint arXiv:gr-qc/0111054},
year = {2014}
}
Comments
A corrigendum (to be published in CQG) has been added to correct an important mistake in the definition of locality