Thermodynamic and classical instability of AdS black holes in fourth-order gravity

Understand

We study thermodynamic and classical instability of AdS black holes in fourth-order gravity.

• These include the BTZ black hole in new massive gravity, Schwarzschild-AdS black hole, and higher-dimensional AdS black holes in fourth-order gravity.
• All thermodynamic quantities which are computed using the Abbot-Deser-Tekin method are used to study thermodynamic instability of AdS black holes.
• On the other hand, we investigate the $s$-mode Gregory-Laflamme instability of the massive graviton propagating around the AdS black holes.