Localized Gravity and Higher Curvature Terms

Details Localized Gravity and Higher Curvature Terms Localized Gravity and Higher Curvature Terms

2000-09-04

arxiv.org/abs/hep-th/0009022v4

Phys.Lett. B494 (2000) 302-310

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, revtex; a minor misprint corrected (to appear in Phys. Lett. B)

Scientific paper

10.1016/S0370-2693(00)01196-5

We consider localization of gravity in smooth domain wall solutions of gravity coupled to a scalar field with a generic potential in the presence of the Gauss-Bonnet term. We discuss conditions on the scalar potential such that domain wall solutions are non-singular. We point out that the presence of the Gauss-Bonnet term does not allow flat solutions with localized gravity that violate the weak energy condition. We also point out that in the presence of the Gauss-Bonnet term infinite tension flat domain walls violate positivity. In fact, for flat solutions unitarity requires that on the solution the scalar potential be bounded below.

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