The General Type N Solution of New Massive Gravity

Understand

We find the most general algebraic type N solution with non-vanishing scalar curvature, which comprises all type N solutions of new massive gravity in three dimensions.

• We also give the special forms of this solution, which correspond to certain critical values of the topological mass.
• Finally, we show that at the special limit, the null Killing isometry of the spacetime is restored and the solution describes AdS pp-waves.