Hamilton-Jacobi equation and the breaking of the WKB approximation

Details Hamilton-Jacobi equation and the breaking of the WKB approximation Hamilton-Jacobi equation and the breaking of the WKB approximation

2005-01-20

arxiv.org/abs/gr-qc/0501065v2

Phys.Lett. B610 (2005) 94-100

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures. Accepted for pubblication on Physics Letters B

Scientific paper

10.1016/j.physletb.2005.02.002

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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