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  Stable isoperimetric surfaces in super-extreme Reissner-Nordström

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-1978-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-197E-C
Genre: Journal Article

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1210.3509.pdf (Preprint), 364KB
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 Creators:
Acena, Andrés E., Author
Dain, Sergio1, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24008              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 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.

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 Dates: 2012-10-122012-10-152013
 Publication Status: Published in print
 Pages: 8 pages, 1 figure
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1210.3509
DOI: 10.1088/0264-9381/30/4/045013
 Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 30 (4) Sequence Number: 045013 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1