Regular Article - Theoretical Physics
Schwarzschild de Sitter and extremal surfaces
Harish-Chandra Research Institute, Chhatnag Road, 211019, Jhusi, Allahabad, India
2 Chennai Mathematical Institute, H1 SIPCOT IT Park, 603103, Siruseri, India
3 Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India
4 Department of Physics, Syracuse University, Syracuse, NY, USA
Accepted: 5 September 2020
Published online: 20 September 2020
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 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.
© The Author(s) 2020
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