Holography dual of accelerating and rotating black hole in Nariai limit (2412.21013v4)

Abstract: In this study, we investigate some widely-known holography properties of accelerating and rotating black hole, described by rotating C-metric, especially the case in Nariai limit, which are related to Kerr-CFT correspondence but differs in that the outer horizon will coincide the acceleration horizon and the extremal geometry is described by $dS_{2}$ rather than $AdS_{2}$. In order to achieve this goal we define a regularized Komar mass with physical interpretation of varying the horizon area from massless limit to general case. We also reduce the action to a 2-dimensional JT-type action and discuss some of its properties.