Near-Extremal Limits of de Sitter Black Holes

Autor: Castro, Alejandra, Mariani, Francesca, Toldo, Chiara
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP07(2023)131
Popis: We analyze the thermodynamic response near extremality of charged black holes in four-dimensional Einstein-Maxwell theory with a positive cosmological constant. The latter exhibit three different extremal limits, dubbed cold, Nariai and ultracold configurations, with near-horizon geometries AdS$_2 \times S^2$, dS$_2 \times S^2$, Mink$_2 \times S^2$, respectively. For each of these three cases we analyze small deformations away from extremality, and contrast their response. We also construct the effective two-dimensional theory, obtained by dimensional reduction, that captures these features and we provide a more detailed analysis of the perturbations around the near-horizon geometry for each case. Our results for the ultracold case in particular show an interesting interplay between the entropy variation and charge variation, realizing a different symmetry breaking with respect to the other two near-extremal limits.
Comment: 32 pages, 2 figures; v3: typos fixed, clarifications on branches of 2D solutions added, comments on metric backreaction in sec. 4.2 removed. Section with outlook and conclusions added
Databáze: arXiv