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arXiv · 0708.2052

Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects

Paulo M. Pitelli·Patricio S. Letelier
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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.

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Paulo M. Pitelli, Patricio S. Letelier. 2007-08-15. Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects. https://doi.org/10.1063/1.2779952

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