Quasilocal thermodynamics of Kerr–de Sitter spacetimes and the dS/CFT correspondence

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 (dS) 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 a previous analysis carried out through the use of Arnowitt-Deser-Misner parameters. Finally, we investigate the nonrotating case analytically.