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

Schwarzschild de Sitter and extremal surfaces