Critical points of D-dimensional extended gravities

By S. Deser, Hai-Shan Liu, Hsueh-I Lu, C. Pope, Tahsin Cagri Sisman, B. Tekin. 2011

170 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/93a56b36a6a38b66cd35db9bd98f5f2855da3197

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Citations in the corpus

AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities (2012, background): “Analogous critical theories exist also in higher-dimensional extended gravities with curvature-squared terms [16].”
Massive Gravity (2014, background): “3 Critical gravity Finally, let us comment on a special case of three dimensional gravity known as log gravity [65] or critical gravity in analogy with the general dimension case [384, 183, 16].”