Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects

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Exact solutions of Einstein equations with null Riemman-Christoffel curvature tensor everywhere, except on a hypersurface, are studied using quantum particles obeying the Klein-Gordon equation. We consider the particular cases when the curvature is represented by a Dirac delta function with support either on a sphere or on a cylinder (spherical and cylindrical shells). In particular, we analyze the necessity of extra boundary conditions on the shells.
7 page,1 fig., Revtex, J. Math. Phys, in press

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/193419

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.2052
 http://arxiv.org/abs/0708.2052
 J.Math.Phys.48:092501,2007
 doi:10.1063/1.2779952

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arXiv