Schwarzschild de Sitter and extremal surfaces
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AbstractWe 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 http://arxiv.org/abs/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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2018 ◽
Vol 27
(04)
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pp. 1850046
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1999 ◽
Vol 31
(7)
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pp. 975-982
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2012 ◽
Vol 27
(25)
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pp. 1250150
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2009 ◽
Vol 06
(02)
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pp. 367-368
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