Quantum singularities in static and conformally static space-times

Details Quantum singularities in static and conformally static space-times Quantum singularities in static and conformally static space-times

2011-12-22

arxiv.org/abs/1112.5488v1

International Journal of Modern Physics A, Vol.26, No.22 (2011) 3878-3888

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1142/S0217751X11054334

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.

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