AdS Waves as Exact Solutions to Quadratic Gravity

Ibrahim Gullu, Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin

Published 2011-02-09, updated 2011-03-25Version 3

We give an exact solution of the quadratic gravity in D dimensions. The solution is a plane fronted wave metric with a cosmological constant. This metric solves not only the full quadratic gravity field equations but also the linearized ones which include the linearized equations of the recently found critical gravity. A subset of the solutions change the asymptotic structure of the anti-de Sitter space due to their logarithmic behavior.