Quasilocal Thermodynamics of Kerr de Sitter Spacetimes and the dS/CFT Correspondence

TL;DR

This paper analyzes the quasilocal thermodynamics of Kerr-de Sitter black holes, computing key thermodynamic quantities and stability, and explores phase behavior and the non-rotating limit within the dS/CFT framework.

Contribution

It provides a comprehensive quasilocal thermodynamic analysis of Kerr-de Sitter black holes using minimal boundary counterterms, extending previous ADM-based studies.

Findings

Computed quasilocal energy, charges, temperature, and heat capacity.

Identified phase behavior consistent with ADM analysis.

Analyzed the non-rotating case analytically.

Abstract

We consider the quasilocal thermodynamics of rotating black holes in asymptotic de Sitter spacetimes. Using the minimal number of intrinsic boundary counterterms, we carry out an analysis of the quasilocal thermodynamics of Kerr-de Sitter black holes for virtually all possible values of the mass, rotation parameter and cosmological constant that leave the quasilocal boundary inside the cosmological event horizon. Specifically, we compute the quasilocal energy, the conserved charges, the temperature and the heat capacity for the $(3+1)$-dimensional Kerr-dS black holes. We perform a quasilocal stability analysis and find phase behavior that is commensurate with previous analysis carried out through the use of Arnowitt-Deser-Misner (ADM) parameters. Finally, we investigate the non-rotating case analytically.