Kaluza-Klein formalism of general spacetimes

被引:22
作者
Yoon, JH [1 ]
机构
[1] Konkuk Univ, Dept Phys, Seoul 143701, South Korea
关键词
D O I
10.1016/S0370-2693(99)00202-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We describe the Kaluza-Klein approach to general relativity of 4-dimensional spacetimes. This approach is based on the (2.2)-fibration of a generic 3-dimensional spacetime, which is viewed as a local product of a (1 + 1)-dimensional base manifold and a 2-dimensional fibre: space. It is shown that the metric coefficients can he decomposed into sets of fields, which transform as a tensor field, gauge fields, and scalar fields with respect to the infinite dimensional group of the diffeomorphisms of the 2-dimensional fibre space. We discuss a few applications of this formalism. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
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收藏
页码:296 / 302
页数:7
相关论文
共 16 条
[1]   THE LARGE-N LIMIT OF EXTENDED CONFORMAL-SYMMETRIES [J].
BAKAS, I .
PHYSICS LETTERS B, 1989, 228 (01) :57-63
[2]   HIGHER-DIMENSIONAL UNIFICATIONS OF GRAVITATION AND GAUGE THEORIES [J].
CHO, YM .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (10) :2029-2035
[3]   GRAVITATION AS GAUGE-THEORY OF THE DIFFEOMORPHISM GROUP [J].
CHO, YM ;
SOH, KS ;
YOON, JH ;
PARK, QH .
PHYSICS LETTERS B, 1992, 286 (3-4) :251-255
[4]   CONFORMAL 2-STRUCTURE AS GRAVITATIONAL DEGREES OF FREEDOM IN GENERAL RELATIVITY [J].
DINVERNO, RA ;
STACHEL, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (12) :2447-2460
[5]  
Geroch R, 1977, ASYMPTOTIC STRUCTURE
[6]   DUAL-NULL DYNAMICS OF THE EINSTEIN FIELD [J].
HAYWARD, SA .
CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (04) :779-790
[7]   COVARIANT 2+2 FORMULATION OF THE INITIAL-VALUE PROBLEM IN GENERAL-RELATIVITY [J].
INVERNO, RAD ;
SMALLWOOD, J .
PHYSICAL REVIEW D, 1980, 22 (06) :1233-1247
[8]  
Kramer D., 1980, EXACT SOLUTIONS EINS
[9]   A CONNECTION BETWEEN THE EINSTEIN AND YANG-MILLS EQUATIONS [J].
MASON, LJ ;
NEWMAN, ET .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 121 (04) :659-668
[10]  
Misner C.W., 1972, Gravitation