Thermodynamic law and holography dual of accelerating and rotating black hole in Nariai limit

Abstract

In this study, we investigate the thermodynamic law of accelerating and rotating black hole described by rotating C-metric, as well as holography properties in Nariai limit, which are related to Nariai-CFT and Kerr-CFT correspondence. In order to achieve this goal we define a regularized Komar mass with physical interpretation of varying the horizon area from spinless limit to general case, and derive the first law based on this construction through covariant phase space formalism. Serving for potential future studies, we also reduce the model to a 2-dimensional JT-type action and discuss some of its properties.