HYPERBOLOIDAL CAUCHY DATA FOR VACUUM EINSTEIN EQUATIONS AND OBSTRUCTIONS TO SMOOTHNESS OF NULL INFINITY

被引：44

作者：

ANDERSSON, L ^{[1
]}

CHRUSCIEL, PT ^{[1
]}

机构：

[1] MAX PLANCK INST ASTROPHYS,W-8046 GARCHING,GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1993年 / 70卷 / 19期

关键词：

D O I：

10.1103/PhysRevLett.70.2829

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Various works have suggested that the Bondi-Sachs-Penrose decay conditions on the gravitational field at null infinity are not generally representative of asymptotically flat spacetimes. We have made a detailed analysis of the constraint equations for ''asymptotically hyperboloidal'' initial data and find that log terms arise generically in asymptotic expansions. These terms are absent in the corresponding Bondi-Sachs-Penrose expansions, and can be related to explicit geometric quantities. We have nevertheless shown that there exists a large class of ''nongeneric'' solutions of the constraint equations, the evolution of which leads to spacetimes satisfying the Bondi-Sachs-Penrose smoothness conditions.

引用

页码：2829 / 2832

页数：4

共 21 条

[11] EINSTEIN-METRICS WITH PRESCRIBED CONFORMAL INFINITY ON THE BALL [J].