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arXiv · 1910.11788

Schwarzschild de Sitter and extremal surfaces

Karan Fernandes·Kedar S. Kolekar·K. Narayan·Sourav Roy
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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.

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Karan Fernandes, Kedar S. Kolekar, K. Narayan, Sourav Roy. 2019-10-25. Schwarzschild de Sitter and extremal surfaces. https://doi.org/10.1140/epjc%2Fs10052-020-08437-2

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