Classical and quantum properties of a 2-sphere singularity
General Relativity and Quantum Cosmology
2011-12-23 v2
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.
Cite
@article{arxiv.1006.5231,
title = {Classical and quantum properties of a 2-sphere singularity},
author = {T. M. Helliwell and D. A. Konkowski},
journal= {arXiv preprint arXiv:1006.5231},
year = {2011}
}
Comments
10 pages, 1 figure, minor corrections, final version