Near-Extremal Limits of de Sitter Black Holes

Abstract

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.

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

References in corpus (10)

• AdS${}_2$ Holographic Dictionary
• Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity
• de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition
• The minus sign in the first law of de Sitter horizons
• Almost all extremal black holes in AdS are singular
• Interpolating geometries and the stretched dS${}_2$ horizon
• Rotating 5D Black Holes: Interactions and deformations near extremality
• From black holes to baby universes in CGHS gravity
• A Celestial Matrix Model
• A Matrix Model for Flat Space Quantum Gravity

Cited by in corpus (6)

• JT Gravity in de Sitter Space and the Problem of Time
• Branes in JT (super)gravity from group theory
• Gravitational wavefunctions in JT supergravity
• Dual CFT on Nariai limit for Kerr-Sen-dS black holes
• The fate of Reissner--Nordström--de Sitter black holes: nonequilibrium discharge and evaporation
• The Fate of Nucleated Black Holes in de Sitter Quantum Gravity