Published January 1, 2011
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Critical points of D-dimensional extended gravities
- 1. Zhejiang Univ, Dept Phys, Zheijiang Inst Modern Phys, Hangzhou 310027, Zhejiang, Peoples R China
- 2. Middle E Tech Univ, Dept Phys, TR-06531 Ankara, Turkey
Description
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 an appropriate choice of the parameters, there exists a critical point for one of the vacua, with only massless tensor, but neither massive tensor nor scalar, gravitons. At criticality, the linearized excitations have formally 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 Lambda is determined.
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