Article ID Journal Published Year Pages File Type
1898769 Journal of Geometry and Physics 2009 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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