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AdS waves as exact solutions to quadratic gravity

Gullu, Ibrahim
Sisman, Tahsin Cagri
Tekin, Bayram
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.