Stable isoperimetric surfaces in super-extreme Reissner-Nordström

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.

8 pages, 1 figure

References in corpus (1)

• Black holes in three dimensional higher spin gravity: A review

Cited by in corpus (4)

• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Four types of attractive gravity probe surfaces
• Isoperimetric surfaces and area-angular momentum inequality in a rotating black hole in New Massive Gravity
• CMC surfaces and area-charge inequality for a spheroidal ECD spacetime