ON THE UNIQUENESS OF BOUNDARIES AT INFINITY OF ASYMPTOTICALLY FLAT SPACETIMES

被引:7
作者
SCHMIDT, B
机构
[1] Max-Planck Inst. fur Phys. and Astrophys., Garching-Munchen
关键词
D O I
10.1088/0264-9381/8/8/014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In the field of asymptotics various boundaries are attached to spacetime. The uniqueness of the point set and its differential structure added at infinity is shown for null infinity as well as for spacelike infinity of stationary solutions. A new definition of spacelike infinity for non-stationary spacetimes is given which involves the conformal and projective structures of spacetime.
引用
收藏
页码:1491 / 1504
页数:14
相关论文
共 14 条
[1]   UNIFIED TREATMENT OF NULL AND SPATIAL INFINITY IN GENERAL RELATIVITY .1. UNIVERSAL STRUCTURE, ASYMPTOTIC SYMMETRIES, AND CONSERVED QUANTITIES AT SPATIAL INFINITY [J].
ASHTEKAR, A ;
HANSEN, RO .
JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (07) :1542-1566
[2]  
ASHTEKAR A, 1990, PREPRINT SYRACUSE
[3]   EINSTEIN EQUATIONS NEAR SPATIAL INFINITY [J].
BEIG, R ;
SCHMIDT, BG .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 87 (01) :65-80
[4]   ON THE INVARIANT MASS CONJECTURE IN GENERAL-RELATIVITY [J].
CHRUSCIEL, PT .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 120 (02) :233-248
[6]  
EARDLEY DM, 1972, THESIS BERKELEY
[7]   CONFORMAL GEODESICS IN GENERAL-RELATIVITY [J].
FRIEDRICH, H ;
SCHMIDT, BG .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1987, 414 (1846) :171-195
[8]   MULTIPOLE MOMENTS .2. CURVED SPACE [J].
GEROCH, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (08) :2580-&
[9]   LOCAL CHARACTERIZATION OF SINGULARITIES IN GENERAL RELATIVITY [J].
GEROCH, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (03) :450-&
[10]   GRAVITATIONAL COLLAPSE AND SPACE-TIME SINGULARITIES [J].
PENROSE, R .
PHYSICAL REVIEW LETTERS, 1965, 14 (03) :57-+