Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass

被引：40

作者：

Chrusciel, Piotr T. ^{[1
,2
]}

机构：

[1] Federat Denis Poisson, LMPT, Tours, France

[2] Math Inst, Oxford OX1 3LB, England

来源：

ANNALS OF PHYSICS | 2008年 / 323卷 / 10期

关键词：

positive energy theorem; axi-symmetric general relativistic initial data; global isothermal coordinates;

D O I：

10.1016/j.aop.2007.12.010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the validity of Brill's axi-symmetric positive energy theorem to all asymptotically fiat initial data sets with positive scalar curvature on simply connected manifolds. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2566 / 2590

页数：25

共 16 条

[1] The isometry groups of asymptotically flat, asymptotically empty space-times with timelike ADM four-momentum [J].

Beig, R ;

Chrusciel, PT .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 188 (03) :585-597

[2] Killing vectors in asymptotically flat space-times .1. Asymptotically translational Killing vectors and the rigid positive energy theorem [J].

Beig, R ;

Chrusciel, PT .

JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (04) :1939-1961

[3] ON THE POSITIVE DEFINITE MASS OF THE BONDI-WEBER-WHEELER TIME-SYMMETRIC GRAVITATIONAL WAVES [J].

BRILL, DR .

ANNALS OF PHYSICS, 1959, 7 (04) :466-483

[4]

Chrusciel P. T., 1990, ANN FAC SCI TOULOUSE, V11, P21

[5] Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular momentum [J].

Chrusciel, Piotr T. ;

Li, Yanyan ;

Weinstein, Gilbert .

ANNALS OF PHYSICS, 2008, 323 (10) :2591-2613

[6] ON SPACE-TIMES WITH U(1)XU(1) SYMMETRICAL COMPACT CAUCHY SURFACES [J].

CHRUSCIEL, PT .

ANNALS OF PHYSICS, 1990, 202 (01) :100-150

[7]

DAIN S, GRQC0606105

[8]

ERNST FJ, 1968, PHYS REV, V167, P1175, DOI 10.1103/PhysRev.167.1175

[9] The positive mass and isoperimetric inequalities for axisymmetric black holes in four and five dimensions [J].

Gibbons, G. W. ;

Holzegel, G. .

CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (22) :6459-6478

[10]

Hempel J., 1976, ANN MATH STUDIES, V86

← 1 2 →