Some developments on axial symmetry

被引：40

作者：

Carot, J ^{[1
]}

机构：

[1] Univ Illes Balears, Dept Fis, E-07071 Palma de Mallorca, Spain

来源：

CLASSICAL AND QUANTUM GRAVITY | 2000年 / 17卷 / 14期

关键词：

D O I：

10.1088/0264-9381/17/14/306

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The definition of axial symmetry in general relativity is reviewed, and some results concerning the geometry in a neighbourhood of the axis are derived. Expressions for the metric are given in different coordinate systems, and emphasis is placed on how the metric coefficients tend to zero when approaching the axis.

引用

页码：2675 / 2690

页数：16

共 17 条

[1]

[Anonymous], EXACT SOLUTIONS EINS

[2]

BARNES A, 1999, COMMUNICATION

[3] ON THE GEOMETRY OF WARPED SPACETIMES [J].

CAROT, J ;

DACOSTA, J .

CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (03) :461-482

[4] On the definition of cylindrical symmetry [J].

Carot, J ;

Senovilla, JMM ;

Vera, R .

CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (09) :3025-3034

[5] COMMUTATION PROPERTY OF A STATIONARY, AXISYMMETRIC SYSTEM [J].

CARTER, B .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1970, 17 (03) :233-&

[6] KILLING HORIZONS AND ORTHOGONALLY TRANSITIVE GROUPS IN SPACE-TIME [J].

CARTER, B .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (01) :70-&

[7] CONFORMAL-SYMMETRIES AND FIXED-POINTS IN SPACE-TIME [J].

HALL, GS .

JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (05) :1198-1207

[8] HOMOTHETIC TRANSFORMATIONS WITH FIXED-POINTS IN SPACETIME [J].

HALL, GS .

GENERAL RELATIVITY AND GRAVITATION, 1988, 20 (07) :671-681

[9]

Kobayashi S., 1963, Foundations of differential geometry, VI

[10]

Kobayashi S., 1963, FDN DIFFERENTIAL GEO, VII

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