Critical Points of D-Dimensional Extended Gravities

Abstract

We study the parameter space of D-dimensional cosmological Einstein gravity together with quadratic curvature terms. In D>4 there are in general two distinct (anti)-de Sitter vacua. We show that for appropriate choice of the parameters there exists a critical point for one of the vacua, for which there are only massless tensor, but neither massive tensor nor scalar, gravitons. At criticality, the linearized excitations have vanishing energy (as do black hole solutions). A further restriction of the parameters gives a one-parameter cosmological Einstein plus Weyl^2 model with a unique vacuum, whose Λis determined.

6 pages, typos corrected

References in corpus (3)

• More on Massive 3D Gravity
• Note on New Massive Gravity in $Ad{S}_3$
• New Energy Definition for Higher Curvature Gravities

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• Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
• Critical gravity as van Dam-Veltman-Zakharov discontinuity in anti de Sitter space