Quantum singularities in static and conformally static space-times
General Relativity and Quantum Cosmology
2011-12-26 v1
Abstract
The definition of quantum singularity is extended from static space-times to conformally static space-times. After the usual definitions of classical and quantum singularities are reviewed, examples of quantum singularities in static space-times are given. These include asymptotically power-law space-times, space-times with diverging higher-order differential invariants, and a space-time with a 2-sphere singularity. The theory behind quantum singularities in conformally static space-times is followed by an example, a Friedmann-Robertson-Walker space-time with cosmic string. The paper concludes by discussing areas of future research.
Cite
@article{arxiv.1112.5488,
title = {Quantum singularities in static and conformally static space-times},
author = {D. A. Konkowski and T. M. Helliwell},
journal= {arXiv preprint arXiv:1112.5488},
year = {2011}
}
Comments
16 pages, no figures, 8th Friedmann Seminar, Rio de Janeiro, Brazil, 30 May - 3 June, 2011