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Quantum singularity of Levi-Civita spacetimes

D. A. Konkowski·T. M. Helliwell·C. Wieland
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Abstract

Quantum singularities in general relativistic spacetimes are determined by the behavior of quantum test particles. A static spacetime is quantum mechanically singular if the spatial portion of the wave operator is not essentially self-adjoint. Here Weyl's limit point-limit circle criterion is used to determine whether a wave operator is essentially self-adjoint. This test is then applied to scalar wave packets in Levi-Civita spacetimes to help elucidate the physical properties of the spacetimes in terms of their metric parameters.

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D. A. Konkowski, T. M. Helliwell, C. Wieland. 2004-01-04. Quantum singularity of Levi-Civita spacetimes. https://doi.org/10.1088/0264-9381%2F21%2F1%2F018

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