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

TL;DR

This paper explores the thermodynamics and holographic properties of accelerating and rotating black holes in the Nariai limit, introducing a regularized mass and deriving the first law, with implications for Nariai-CFT and Kerr-CFT correspondence.

Contribution

It introduces a regularized Komar mass for rotating accelerating black holes and derives the first law in the Nariai limit, also reducing the model to a 2D JT-type action.

Findings

Derived the first law of thermodynamics for rotating accelerating black holes.

Defined a regularized Komar mass with physical interpretation.

Reduced the model to a 2D JT-type action for further analysis.

Abstract

In this study, we investigate the thermodynamic law of accelerating and rotating black hole described by ro- tating 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 frist 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.