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Published March 17, 2011 | Published
Journal Article Open

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 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 Λ is determined.

Additional Information

© 2011 American Physical Society. Received 31 January 2011; published 17 March 2011. S. D. is supported by NSF Grant No. PHY 07-57190 and DOE Grant No. DE-FG02-164 92ER40701. H. Liu is supported in part by the National Science Foundation of China (10425525, 10875103), the National Basic Research Program of China (2010CB833000) and the Zhejiang University Group Funding (2009QNA3015). The research of C. N. P. is supported in part by DOE Grant No. DEFG03-95ER40917. The work of T. C. S. and B. T. is supported by the TÜBİTAK Grant No. 110T339, and METU Grant No. BAP-07-02-2010-00-02. H. Lü is grateful to the Mitchell Institute for Fundamental Physics and Astronomy at Texas A&M University for hospitality during the course of this work.

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