Cosmological spacetimes not covered by a constant mean curvature slicing

被引：14

作者：

Isenberg, J ^{[1
]}

Rendall, AD

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Univ Oregon, Inst Theoret Sci, Eugene, OR 97403 USA

[3] Max Planck Inst Gravitat Phys, D-14473 Potsdam, Germany

来源：

CLASSICAL AND QUANTUM GRAVITY | 1998年 / 15卷 / 11期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1088/0264-9381/15/11/025

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that there exist maximal globally hyperbolic solutions of the Einstein-dust equations which admit a constant mean curvature Cauchy surface, but are not covered by a constant mean curvature foliation.

引用

页码：3679 / 3688

页数：10

共 16 条

[1] REMARKS ON COSMOLOGICAL SPACETIMES AND CONSTANT MEAN-CURVATURE SURFACES [J].

BARTNIK, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 117 (04) :615-624

[2] DETERMINATION OF CAUCHY SURFACES FROM INTRINSIC-PROPERTIES [J].

BUDIC, R ;

ISENBERG, J ;

LINDBLOM, L ;

YASSKIN, PB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 61 (01) :87-95

[3]

CHOQUETBRUHAT Y, 1980, GEN RELATIVITY GRAVI

[4]

CHOQUETBRUHAT Y, 1958, B SOC MATH FRANCE, V86, P155

[5]

CHOQUETBRUHAT Y, 1974, RUSS MATH SURV, V29, P327

[6]

COURANT R, 1989, METHODS MATH PHYSICS, V2, pCH6

[7] TIME FUNCTIONS IN NUMERICAL RELATIVITY - MARGINALLY BOUND DUST COLLAPSE [J].

EARDLEY, DM ;

SMARR, L .

PHYSICAL REVIEW D, 1979, 19 (08) :2239-2259

[8]

Hawking S. W., 1973, The Large Scale Structure of Space-Time

[9] A set of nonconstant mean curvature solutions of the Einstein constraint equations on closed manifolds [J].

Isenberg, J ;

Moncrief, V .

CLASSICAL AND QUANTUM GRAVITY, 1996, 13 (07) :1819-1847

[10]

Joshi PS, 1993, GLOBAL ASPECTS GRAVI

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