MG14 - Talk detail |
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Participant |
Konkowski, Deborah | |||||||
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Institution |
U.S. Naval Academy , Mathematics Dept. - 572C Holloway Road - Annapolis - Maryland - USA | |||||||
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Session |
QF2 |
Accepted |
Yes |
Order |
1 |
Time |
14:30 | 20' |
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Talk |
Oral abstract |
Title |
Quantum Resolution of Classical Timelike Singularities in a Class of Spherically Symmetric, Self-Similar Spacetimes | |||||
| Coauthors | Tom Helliwell and Jon Williams | |||||||
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Abstract |
A definition of quantum singularity for the case of static spacetimes has recently been extended to conformally static spacetimes. Here the theory behind quantum singularities in conformally static spacetimes is reviewed, and then applied to a class of spherically symmetric, self-similar spacetimes. We use solutions of the massless Klein-Gordon equation as test fields. We then use the Weyl limit point - limit circle criterion to find the ranges of metric parameters for which classical timelike singularities in these spacetimes are resolved quantum mechanically, in the sense that the Hamiltonian operator is essentially self-adjoint, so the evolution of quantum wave packets lacks the ambiguity associated with scattering off singulartities. |
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Pdf file |
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