Violation of Energy Bounds in Designer Gravity

Abstract

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.

arXiv comment16 pages, 4 figures, v2: discussion of vacuum decay included, typos corrected, reference added

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• Higher spin gravity in 3D: black holes, global charges and thermodynamics
• A tale of two superpotentials: Stability and Instability in Designer Gravity
• Universal isolation in the AdS landscape
• Universal slow fall-off to the unique AdS infinity in Einstein-Gauss-Bonnet gravity