A Summary: Quantum Singularities in Static and Conformally Static Spacetimes
This is a summary of how the definition of quantum singularity is extended from static space-times to conformally static space-times. Examples are given.
gr-qc↗
arXiv subjects
Deborah A. Konkowski
Publications and source records attributed to Deborah A. Konkowski.
Properties of a Two-Sphere Singularity
Recently Böhmer and Lobo have shown that a metric due to Florides can be extended to reveal a classical singularity that has the form of a two-sphere. Here we discuss and expand on the classical singularity properties and then show the classical singularity is not healed by a quantum analysis.
gr-qc↗
Quantum singularities in conformally static spacetimes
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 $ξ\ge 2$ do not detect the classical singularity.
gr-qc↗