Unstable marginally outer trapped surfaces in static spherically symmetric spacetimes
arXiv:1705.03063 · doi:10.1103/PhysRevD.96.024059
Abstract
We examine potential deformations of inner black hole and cosmological horizons in Reissner-Nordström de-Sitter spacetimes. While the rigidity of the outer black hole horizon is guaranteed by theorem, that theorem applies to neither the inner black hole nor past cosmological horizon. Further for pure deSitter spacetime it is clear that the cosmological horizon can be deformed (by translation). For specific parameter choices, it is shown that both inner black hole and cosmological horizons can be infinitesimally deformed. However these do not extend to finite deformations. The corresponding results for general spherically symmetric spacetimes are considered.
11 pages, 9 figures; V2: title changed to match published version
References in corpus (4)
Cited by in corpus (12)
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- Ultimate fate of apparent horizons during a binary black hole merger I: Locating and understanding axisymmetric marginally outer trapped surfaces
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