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On isoperimetric surfaces in general relativity,II
Authors:Farhan Abedin  Justin Corvino  Shelvean Kapita  Haotian Wu
Affiliation:1. Department of Mathematics, Lafayette College, Easton, PA 18042, United States;2. Department of Mathematics, University of Texas-Austin, United States
Abstract:We determine the optimal way to enclose volume in a class of domains inside certain Friedmann–Robertson–Walker metrics. The method employed is an adaptation of the Bray–Morgan isoperimetric comparison procedure to the Lorentzian setting. We also make some remarks on isoperimetric comparison in the Riemannian setting, for rotationally-symmetric space-like slices in non-vacuum space-times.
Keywords:02.40.-k   04.20.-q
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