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キーワード:
General Relativity and Quantum Cosmology, gr-qc
要旨:
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.
