Schwarzschild de Sitter and extremal surfaces

Abstract

We study extremal surfaces in the Schwarzschild de Sitter spacetime with real mass parameter. We find codim-2 timelike extremal surfaces stretching between the future and past boundaries that pass through the vicinity of the cosmological horizon in a certain limit. These are analogous to the surfaces in arXiv:1711.01107 [hep-th]. We also find spacelike surfaces that never reach the future/past boundaries but stretch indefinitely through the extended Penrose diagram, passing through the vicinity of the cosmological and Schwarzschild horizons in a certain limit. Further, these exhibit interesting structure for de Sitter space (zero mass) as well as in the extremal, or Nariai, limit.

arXiv commentLatex, 25pgs incl. appendices, 4 eps figs; v2: minor clarifications, references added; v3: minor corrections; v4: 30pgs, comments section added, matches version to be published

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• Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Wheeler-DeWitt equation beyond the cosmological horizon: Annihilation to nothing, infinity avoidance, and loss of quantum coherence
• JT Gravity in de Sitter Space and Its Extensions
• Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime