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arXiv · hep-th/0009022

Localized Gravity and Higher Curvature Terms

Olindo Corradini·Zurab Kakushadze
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Abstract

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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Olindo Corradini, Zurab Kakushadze. 2000-11-01. Localized Gravity and Higher Curvature Terms. https://doi.org/10.1016/s0370-2693(00)01196-5

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