The Kerr spacetime in generalized Bondi-Sachs coordinates

被引:43
作者
Fletcher, SJ [1 ]
Lun, AWC [1 ]
机构
[1] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia
关键词
-;
D O I
10.1088/0264-9381/20/19/302
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper we define a generalized Bondi-Sachs (GBS) coordinate system. We utilize the null geodesics with zero angular momentum in the Kerr spacetime to transform the metric into GBS form. We write down the Kerr metric components explicitly in these new coordinates. The flat (M = 0) subcase of the Kerr spacetime can be shown to be coordinatized by null geodesics emanating from a ring. The curved (M not equal 0) subcase with a = 0 is the Schwarzschild spacetime in outgoing Eddington-Finkelstein coordinates. We analyse the important physical properties of the Kerr spacetime in the new coordinates. We conclude with the suggestion that a radiating generalization of the Kerr spacetime is most likely to be found in GBS coordinates.
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收藏
页码:4153 / 4167
页数:15
相关论文
共 11 条
[1]   GRAVITATIONAL WAVES IN GENERAL RELATIVITY .7. WAVES FROM AXI-SYMMETRIC ISOLATED SYSTEMS [J].
BONDI, H ;
VANDERBU.MG ;
METZNER, AWK .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1962, 269 (1336) :21-&
[2]   GLOBAL STRUCTURE OF KERR FAMILY OF GRAVITATIONAL FIELDS [J].
CARTER, B .
PHYSICAL REVIEW, 1968, 174 (05) :1559-+
[3]  
Chandrasekhar S., 1983, MATH THEORY BLACK HO
[4]   GRAVITATIONAL-WAVES IN GENERAL-RELATIVITY .14. BONDI EXPANSIONS AND THE POLYHOMOGENEITY OF J [J].
CHRUSCIEL, PT ;
MACCALLUM, MAH ;
SINGLETON, DB .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1995, 350 (1692) :113-141
[5]  
FLETCHER SJ, 1997, THESIS MONASH U MELB, P26
[6]  
FLETCHER SJ, 1996, P 7 M GROSSM M GEN R, P296
[7]  
Kerr R.P., 1965, Proc. Symp. Appl. Math., V17, P199, DOI DOI 10.1090/PSAPM/017/0216846
[9]   BEHAVIOR OF ASYMPTOTICALLY FLAT EMPTY SPACES [J].
NEWMAN, ET ;
UNTI, TWJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1962, 3 (05) :891-&
[10]   SOME SPHERICAL GRAVITATIONAL WAVES IN GENERAL RELATIVITY [J].
ROBINSON, I ;
TRAUTMAN, A .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1962, 265 (1323) :463-&