Classical and quantum properties of a 2-sphere singularity

Autor: Helliwell, T. M., Konkowski, D. A.
Rok vydání: 2010
Předmět:
Zdroj: Gen.Rel.Grav.43:695-701,2011
Druh dokumentu: Working Paper
DOI: 10.1007/s10714-010-1099-9
Popis: 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.
Comment: 10 pages, 1 figure, minor corrections, final version
Databáze: arXiv