Existence of a constant mean curvature foliation in the extended Schwarzschild spacetime

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Abstract

We construct a T-axisymmetric, spacelike, spherically symmetric, constant mean curvature (CMC) hypersurface foliation in the Kruskal extension with properties such that the mean curvature varies in each slice and ranges from minus infinity to plus infinity. This family of hypersurfaces extends the CMC foliation discussions by Malec and Ó Murchadha in 2009 [Phys. Rev. D 80, 024017 (2009)].

Original languageEnglish
Article number084038
JournalPhysical Review D
Volume94
Issue number8
DOIs
Publication statusPublished - 2016 Oct 24

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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