On isoperimetric surfaces in general relativity, II

JOURNAL OF GEOMETRY AND PHYSICS

卷:59

Article

Abedin, Farhan¹  Corvino, Justin¹  Kapita, Shelvean¹  Wu, Haotian² 

[1] Lafayette Coll, Dept Math, Easton, PA 18042 USA

[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

关键词: Space-like hypersurfaces;    Isoperimetric problem;   

DOI  :  10.1016/j.geomphys.2009.07.010

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free