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arXiv · 1210.3509

Stable isoperimetric surfaces in super-extreme Reissner-Nordström

Andrés E. Aceña·Sergio Dain
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Abstract

We study isoperimetric surfaces in the Reissner-Nordström 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.

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Andrés E. Aceña, Sergio Dain. 2012-10-15. Stable isoperimetric surfaces in super-extreme Reissner-Nordström. https://doi.org/10.1088/0264-9381%2F30%2F4%2F045013

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