Stable isoperimetric surfaces in super-extreme Reissner-Nordström

Acena, Andrés E.; Dain, Sergio

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

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学術論文

Stable isoperimetric surfaces in super-extreme Reissner-Nordström

MPS-Authors

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

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1210.3509.pdf
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引用

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

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

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.