Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects

Details Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects

2007-08-15

arxiv.org/abs/0708.2052v1

J.Math.Phys.48:092501,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1063/1.2779952

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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