2007/08/15 by João Paulo M. Pitelli, Paulo M. Pitelli, Patricio S. Letelier · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1063/1.2779952
published as J.Math.Phys.48:092501,2007 · 7 page,1 fig., Revtex, J. Math. Phys, in press
arxiv created 2007/08/15 · openalex publication_date 2007/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.