Toroidal marginally outer trapped surfaces in closed Friedmann-Lemaitre-Robertson-Walker spacetimes: Stability and isoperimetric inequalities

被引：6

作者：

Mach, Patryk ^{[1
]}

Xie, Naqing ^{[2
]}

机构：

[1] Jagiellonian Univ, Inst Phys, Lojasiewicza 11, PL-30438 Krakow, Poland

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

PHYSICAL REVIEW D | 2017年 / 96卷 / 08期

基金：

中国国家自然科学基金;

关键词：

MEAN-CURVATURE TORI; MINIMAL-SURFACES; EVENT HORIZON; BLACK-HOLES; 3-SPHERE; TOPOLOGY; S3;

D O I：

10.1103/PhysRevD.96.084050

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate toroidal marginally outer trapped surfaces (MOTS) and marginally outer trapped tubes (MOTT) in closed Friedmann-Lemaitre-Robertson-Walker (FLRW) geometries. They are constructed by embedding constant mean curvature (CMC) Clifford tori in a FLRWspacetime. This construction is used to assess the quality of certain isoperimetric inequalities, recently proved in axial symmetry. Similarly to spherically symmetric MOTS existing in FLRW spacetimes, the toroidal ones are also unstable.

引用

页数：7

共 23 条

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