Energy Bounds in Designer Gravity

Details Energy Bounds in Designer Gravity Energy Bounds in Designer Gravity

2006-05-09

arxiv.org/abs/hep-th/0605101v3

Phys.Rev.D74:064006,2006; Erratum-ibid.D75:029901,2007

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, RevTex; v2: references added, typo corrected; v3: minor corrections, comments added

Scientific paper

10.1103/PhysRevD.74.064006

We consider asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass at or slightly above the Breitenlohner-Freedman bound in d greater than or equal to 4 spacetime dimensions. The boundary conditions in these ``designer gravity'' theories are defined in terms of an arbitrary function W. We give a general argument that the Hamiltonian generators of asymptotic symmetries for such systems will be finite, and proceed to construct these generators using the covariant phase space method. The direct calculation confirms that the generators are finite and shows that they take the form of the pure gravity result plus additional contributions from the scalar fields. By comparing the generators to the spinor charge, we derive a lower bound on the gravitational energy when i) W has a global minimum, ii) the Breitenlohner-Freedman bound is not saturated, and iii) the scalar potential V admits a certain type of "superpotential."

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