Unstable marginally outer trapped surfaces in static spherically symmetric spacetimes

Unstable marginally outer trapped surfaces in static spherically symmetric spacetimes 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 the past cosmological horizon. Further, for pure de Sitter 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Unstable marginally outer trapped surfaces in static spherically symmetric spacetimes

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Unstable marginally outer trapped surfaces in static spherically symmetric spacetimes

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 the past cosmological horizon. Further, for pure de Sitter 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.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.024059
Publisher site
See Article on Publisher Site

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 the past cosmological horizon. Further, for pure de Sitter 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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 15, 2017

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