Hawking-Page transition in anti-de Sitter massive gravity with non-compact spatial boundary

Abstract: In gauge/gravity duality, the Hawking Page (HP) process plays the important role of representing a confined/deconfined phase transition. For spaces that are asymptotically anti-de Sitter (AdS) with planar spatial boundary there is no HP transition, unless some infrared energy scale is introduced. Massive gravity theories have been applied in the context of holography in order to represent systems with momentum dissipation. In this work we study the HP transition for massive gravity in an asymptotically AdS space with $\mathbb{R}^n\times\, $S$^1 $ boundary. It is shown that the graviton mass term produces an HP transition at a finite critical temperature.