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Hamilton-Jacobi equation and the breaking of the WKB approximation

2005/01/31 by Fabrizio Canfora
Physics and Astronomy · #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2005.02.002

published as Phys.Lett. B610 (2005) 94-100 · 11 pages, no figures. Accepted for pubblication on Physics Letters B

arxiv created 2005/02/07 · arxiv updated 2009/12/01

Abstract

A simple method to deal with four dimensional Hamilton-Jacobi equation for null hypersurfaces is introduced. This method allows to find simple geometrical conditions which give rise to the failure of the WKB approximation on curved spacetimes. The relation between such failure, extreme blackholes and the Cosmic Censor hypothesis is briefly discussed.

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