Violation of Energy Bounds in Designer Gravity

Details Violation of Energy Bounds in Designer Gravity Violation of Energy Bounds in Designer Gravity

2006-07-24

arxiv.org/abs/hep-th/0607171v2

Class.Quant.Grav.24:141-154,2007

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 4 figures, v2: discussion of vacuum decay included, typos corrected, reference added

Scientific paper

10.1088/0264-9381/24/1/008

We continue our study of the stability of designer gravity theories, where one considers anti-de Sitter gravity coupled to certain tachyonic scalars with boundary conditions defined by a smooth function W. It has recently been argued there is a lower bound on the conserved energy in terms of the global minimum of W, if the scalar potential arises from a superpotential P and the scalar reaches an extremum of P at infinity. We show, however, there are superpotentials for which these bounds do not hold.

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