Stable isoperimetric surfaces in super-extreme Reissner-Nordström

Acena, Andrés E.; Dain, Sergio

doi:10.1088/0264-9381/30/4/045013

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Stable isoperimetric surfaces in super-extreme Reissner-Nordström

MPS-Authors

Dain, Sergio
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

1210.3509.pdf
(Preprint), 364KB

CQG_30_4_045013.pdf
(Any fulltext), 192KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Acena, A. E., & Dain, S. (2013). Stable isoperimetric surfaces in super-extreme Reissner-Nordström. Classical and quantum gravity, 30(4): 045013. doi:10.1088/0264-9381/30/4/045013.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0015-1978-7

Abstract

We study isoperimetric surfaces in the Reissner-Nordstr\"om spacetime, with emphasis on the cuasilocal inequality between area and charge. We analyze the stability of the isoperimetric spheres and we found that there is a lower bound on the area in terms of the charge, and that the inequality is saturated in the transition from the superextremal to the subextremal case. We also derive a general inequality between area and charge for stable isoperimetric surfaces in maximal electro-vacuum initial data.