English

Quantum singularities in conformally static spacetimes

General Relativity and Quantum Cosmology 2012-10-16 v1

Abstract

After a brief review of the standard definition and analysis of classical singularities in general relativistic spacetimes, and of quantum singularities in static spacetimes with timelike classical singularities, an extension of quantum singularities to conformally static spacetimes is summarized and applied to two test cases. The timelike classical singularities in a Friedmann-Robertson-Walker (FRW) universe with a cosmic string, and in Roberts spacetime, are shown to be quantum mechanically singular when tested by either minimally coupled or conformally coupled scalar waves. In the Roberts case, however, non-minimally coupled scalar waves with a coupling constant ξ2\xi \ge 2 do not detect the classical singularity.

Keywords

Cite

@article{arxiv.1210.3804,
  title  = {Quantum singularities in conformally static spacetimes},
  author = {Deborah A. Konkowski and Thomas M. Helliwell},
  journal= {arXiv preprint arXiv:1210.3804},
  year   = {2012}
}

Comments

7 pages, no figures, submitted to Proceedings of Relativity and Gravitation: 100 years after Einstein in Prague, 25-29 June 2012, Prague, Czech Republic

R2 v1 2026-06-21T22:21:20.566Z