Snapping swallowtails in accelerating black hole thermodynamics

• Published in: Classical and quantum gravity 2019-05, Vol.36 (10), p.104001
• Main Authors: Abbasvandi, Niloofar, Cong, Wan, Kubiz ák, David, Mann, Robert B
• Format: Article
• Language: English
• Subjects: black holes; holography; PV criticality; thermodynamics
• ISSN: 0264-9381; 1361-6382
• DOI: 10.1088/1361-6382/ab129f

The thermodynamic behaviour of a charged and accelerating AdS black hole is studied in the context of extended phase space with variable cosmological constant. When compared to the charged AdS black hole without acceleration, a remarkable new feature of 'snapping swallowtails' appears. Namely, for any black hole with charge Q and any string tension causing the acceleration of the black hole, there exists a transition pressure at which the standard swallowtail 'snaps', causing the branch of low temperature black holes to completely disappear, leading to a pressure induced zeroth order phase transition between small and large black holes. For intermediate values of the string tension, we also observe a reentrant phase transition, as the small black hole changes to a large one and then back to small, as the pressure decreases, crossing the coexistence line of the two phases several times. We also find a new class of 'mini-entropic' black holes, whose isoperimetric ratio becomes unbounded in a certain region of parameter space.