Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects

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.

7 page,1 fig., Revtex, J. Math. Phys, in press

References in corpus (3)

• Quantum Probes of Spacetime Singularities
• Who's Afraid of Naked Singularities?
• Quantum singularity of Levi-Civita spacetimes

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