Near horizon OTT black hole asymptotic symmetries and soft hair

Understand

We study the near horizon geometry of both static and stationary extremal Oliva Tempo Troncoso (OTT) black holes.

• For each of these cases, a set of consistent asymptotic conditions is introduced.
• The canonical generator for the static configuration is shown to be regular.
• For the rotating OTT black hole, the asymptotic symmetry is described by the time reparametrization, the chiral Virasoro and centrally extended $u(1)$ Kac-Moody algebras.