# Circularly symmetric solutions of Minimal Massive Gravity at its merger point

## TL;DR

This paper systematically finds and analyzes all static circularly symmetric solutions of Minimal Massive Gravity at its merger point, revealing a static black hole and a previously overlooked gravitational soliton with detailed geometric and physical properties.

## Contribution

It provides a complete classification of solutions at the merger point, including new solutions like the gravitational soliton, expanding understanding of Minimal Massive Gravity.

## Key findings

- Existence of a static hairy black hole.
- Discovery of a static gravitational soliton.
- Analysis of geometric and physical properties of solutions.

## Abstract

I find all the static circularly symmetric solutions of Minimal Massive 3D Gravity at its merger point, construct stationary versions of these and discuss some of their geometric and physical properties. It turns out that apart from a static hairy black hole, there is also a static gravitational soliton, that has been overlooked in the literature.