Even the Minkowski space is holed
General Relativity and Quantum Cosmology
2009-09-27 v2 Differential Geometry
Abstract
To cure the lack of predictive power of general relativity Geroch proposed to complete the theory with an additional postulate that only "hole-free" spacetimes are permitted. I argue that this postulate is too strong -- it prohibits even the Minkowski space.
Cite
@article{arxiv.0903.3991,
title = {Even the Minkowski space is holed},
author = {S. Krasnikov},
journal= {arXiv preprint arXiv:0903.3991},
year = {2009}
}
Comments
Some clarifications are added on the relation of the counter-example to Geroch's proposal