Null energy conditions outside a background potential

Details Null energy conditions outside a background potential Null energy conditions outside a background potential

2003-07-07

arxiv.org/abs/hep-th/0307067v2

Phys.Rev.D68:065016,2003; Erratum-ibid.D72:069901,2005

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 7 figures Minor errors in equations (15,26,31-33,35,A5,A6) corrected. Conclusions unaffected. After original publica

Scientific paper

10.1103/PhysRevD.68.065016

We study the Casimir energy of a minimally coupled, real, massless scalar field outside a spherically symmetric background potential. We obtain a general expression for the null energy condition in d dimensions and explicit expressions for a perfectly reflecting spherical boundary in 3+1 and 2+1 dimensions. In these cases, the null energy condition is always violated for radial motion and obeyed for azimuthal motion. Nevertheless, the averaged null energy condition is always obeyed.

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