# Circular geodesics stability in a static black hole in new massive gravity

## TL;DR

This paper investigates the existence and stability of circular geodesics around static black holes in New Massive Gravity, revealing that the hair parameter's sign determines geodesic stability regions.

## Contribution

It provides a detailed analysis of geodesic stability in asymptotically AdS black holes within New Massive Gravity, highlighting the role of the hair parameter.

## Key findings

- Positive hair parameter leads to predictable stability regions
- Inner unstable null geodesic is separated from the horizon
- Stable and unstable geodesic regions are characterized

## Abstract

We study the existence and stability of circular geodesics in a family of asymptotically AdS static black holes in New Massive Gravity. We show that the existence of such geodesics is determined by the sign of the hair parameter. For a positive hair parameter the stability regions follow the usual pattern, with an innermost unstable null geodesic separated from the horizon, followed by a region of unstable timelike geodesics and then stable timelike geodesics extending in the asymptotic region.