ON THE REGULARITY OF SOLUTIONS TO THE YAMABE EQUATION AND THE EXISTENCE OF SMOOTH HYPERBOLOIDAL INITIAL DATA FOR EINSTEIN FIELD-EQUATIONS

被引:146
作者
ANDERSSON, L
CHRUSCIEL, PT
FRIEDRICH, H
机构
[1] AUSTRALIAN NATL UNIV,CTR MATH & APPLICAT,CANBERRA,ACT 2601,AUSTRALIA
[2] MAX PLANCK INST ASTROPHYS,W-8046 GARCHING,GERMANY
关键词
D O I
10.1007/BF02096944
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The regularity of the solutions to the Yamabe Problem is considered in the case of conformally compact manifolds and negative scalar curvature. The existence of smooth hyperboloidal initial data for Einstein's field equations is demonstrated.
引用
收藏
页码:587 / 612
页数:26
相关论文
共 16 条
[1]  
ANDERSSON L, UNPUB
[2]  
ANDERSSON L, 1990, UNPUB INDIAN U MATH
[3]   COMPLETE CONFORMAL METRICS WITH NEGATIVE SCALAR CURVATURE IN COMPACT RIEMANNIAN-MANIFOLDS [J].
AVILES, P ;
MCOWEN, RC .
DUKE MATHEMATICAL JOURNAL, 1988, 56 (02) :395-398
[4]  
AVILES P, 1988, J DIFFER GEOM, V27, P225
[5]  
Besse A. L., 1987, ERGEBNISSE MATH, V10
[6]  
FRIEDRICH H, 1991, J DIFFER GEOM, V34, P275
[7]   ON STATIC AND RADIATIVE SPACE-TIMES [J].
FRIEDRICH, H .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 119 (01) :51-73
[8]   EINSTEIN-METRICS WITH PRESCRIBED CONFORMAL INFINITY ON THE BALL [J].
GRAHAM, CR ;
LEE, JM .
ADVANCES IN MATHEMATICS, 1991, 87 (02) :186-225
[9]  
LOEWNER C, 1974, CONTRIBUTIONS ANAL
[10]  
MAZZEO R, 1988, J DIFFER GEOM, V28, P309