MG13 - Talk detail |
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Participant |
Konkowski, Deborah | |||||||
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Institution |
U.S. Naval Academy - 572-C Holloway Rd - Annapolis - Maryland - USA | |||||||
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Session |
GT4 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Classical and Quantum Properties of a Two-Sphere Singularity | |||||
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Abstract |
Recently Bohmer and Lobo have shown that a metric due to Florides, which has been used as an interior Schwarzschild solution, can be extended to reveal a classical singularity that has the form of a two-sphere. Here the singularity is shown to be a naked scalar curvature singularity that is both timelike and gravitationally weak. It is also shown to be a quantum singularity because the Klein-Gordon operator associated with quantum mechanical particles approaching the singularity is not essentially self-adjoint. |
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Session |
GT5 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Quantum Singularities in Static and Conformally Static Space-times | |||||
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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 several examples: a Friedmann-Robertson-Walker space-time with cosmic string, Roberts space-time, Fornav space-time, and the HMN metric. Future areas of research are discussed. |
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