Classical and quantum properties of a 2-sphere singularity

Details Classical and quantum properties of a 2-sphere singularity Classical and quantum properties of a 2-sphere singularity

2010-06-27

arxiv.org/abs/1006.5231v2

Gen.Rel.Grav.43:695-701,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 1 figure, minor corrections, final version

Scientific paper

10.1007/s10714-010-1099-9

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.

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