AdS Waves as Exact Solutions to Quadratic Gravity

TL;DR

This paper presents an exact solution to quadratic gravity in D dimensions, demonstrating that certain wave metrics satisfy both full and linearized field equations, including critical gravity, with some solutions altering AdS asymptotics.

Contribution

It provides the first exact plane wave solutions to quadratic gravity that also solve linearized equations, revealing new asymptotic behaviors.

Findings

Exact plane wave solutions to quadratic gravity in D dimensions.

Solutions satisfy both full and linearized field equations.

Some solutions modify the asymptotic structure of AdS space.

Abstract

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.