Classical and quantum properties of a 2-sphere singularity
arXiv:1006.5231 · doi:10.1007/s10714-010-1099-9
Abstract
Recently Boehmer 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 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.
10 pages, 1 figure, minor corrections, final version
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