Quantum singularities in static and conformally static space-times

TL;DR

This paper extends the concept of quantum singularities from static to conformally static space-times, providing examples and discussing implications for quantum gravity in various cosmological models.

Contribution

It introduces a framework for analyzing quantum singularities in conformally static space-times and applies it to specific cosmological examples, expanding previous static-only analyses.

Findings

Quantum singularities are identified in various static space-times.

The theory is extended to conformally static space-times with an example involving FRW space-time.

Future research directions in quantum singularity analysis are discussed.

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.