On isoperimetric surfaces in general relativity

• Autores: Justin Corvino, Aydin Gerek, Michael Greenberg, Brian Krummel
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 231, Nº 1, 2007, págs. 63-84
• Idioma: inglés
• DOI: 10.2140/pjm.2007.231.63
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• Resumen

  • We obtain the isoperimetric profile for the standard initial slices in the Reissner¿Nordstrom and Schwarzschild anti-de Sitter spacetimes, following recent work of Bray and Morgan on isoperimetric comparison. We then discuss these results in the context of Bray¿s isoperimetric approach to the Penrose inequality.