D-Dimensional Log Gravity

Abstract

We study Einstein gravity in dimensions $D\ge 4$ modified by curvature squared at critical point where the theory contains only massless gravitons. We show that at the critical point a new mode appears leading to a logarithmic gravity in the theory. The corresponding logarithmic solution may provide a gravity description of logarithmic CFT in higher dimensions. We note also that for special values of the parameters of the theory, the model admits solutions with non-relativistic isometries.

9 pages; V2: a reference added; V3: (Published version) Minor corrections, Ref. added

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