Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0708.2052,
title = {Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects},
author = {Paulo M. Pitelli and Patricio S. Letelier},
journal= {arXiv preprint arXiv:0708.2052},
year = {2008}
}
Comments
7 page,1 fig., Revtex, J. Math. Phys, in press