Resumen de On isoperimetric surfaces in general relativity

Justin Corvino, Aydin Gerek, Michael Greenberg, Brian Krummel

• 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.