Kundt solutions of Minimal Massive 3D Gravity

TL;DR

This paper constructs Kundt solutions in Minimal Massive Gravity, revealing their CSI properties, algebraic classifications, and similarities to solutions in Topologically Massive Gravity, including a unique non-CSI solution at the merger point.

Contribution

It provides the first detailed construction and classification of Kundt solutions in Minimal Massive Gravity, highlighting their properties and relation to TMG solutions.

Findings

Most Kundt solutions are CSI spacetimes.

Explicit non-CSI solution found at the merger point.

Segre types match those in TMG.

Abstract

We construct Kundt solutions of Minimal Massive Gravity theory and show that, similar to Topologically Massive Gravity (TMG), most of them are constant scalar invariant (CSI) spacetimes, that correspond to deformations of round and warped (A)dS. We also find an explicit non-CSI Kundt solution at the merger point. Finally, we give their algebraic classification with respect to the traceless Ricci tensor (Segre classification) and show that their Segre-types match with the types of their counterparts in TMG.