On 3D Minimal Massive Gravity

TL;DR

This paper analyzes the linearized equations of minimal massive gravity in 3D, showing their equivalence to TMG equations and exploring solutions including logarithmic modes at critical points.

Contribution

It demonstrates the equivalence of linearized equations of minimal massive gravity to TMG and investigates vacuum solutions at special parameter limits.

Findings

Linearized equations match those of TMG after parameter redefinition.

The model admits logarithmic modes at critical points.

Vacuum solutions are studied, especially when the Chern-Simons contribution vanishes.

Abstract

We study linearized equations of motion of the newly proposed three dimensional gravity, known as minimal massive gravity, using its metric formulation. We observe that the resultant linearized equations are exactly the same as that of TMG by making use of a redefinition of the parameters of the model. In particular the model admits logarithmic modes at the critical points. We also study several vacuum solutions of the model, specially at a certain limit where the contribution of Chern-Simons term vanishes.