Quantum singularities in static and conformally static space-times

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.

16 pages, no figures, 8th Friedmann Seminar, Rio de Janeiro, Brazil, 30 May - 3 June, 2011

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• Resolution of curvature singularities from quantum mechanical and loop perspective
• Quantum probes of timelike naked singularities in $2+1-$ dimensional power - law spacetimes
• Quantum fate of timelike naked singularity with scalar hair
• Quantization of the interior of the black hole
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