THE CONFORMAL FACTOR IN THE SAS EINSTEIN-MAXWELL FIELD-EQUATIONS AND A CENTRAL EXTENSION OF A FORMAL LOOP GROUP

被引：3

作者：

HASHIMOTO, T ^{[1
]}

SAWAE, R ^{[1
]}

机构：

[1] SHIKOKU UNIV,DEPT MANAGEMENT & INFORMAT SCI,TOKUSHIMA 77111,JAPAN

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 160卷 / 01期

关键词：

D O I：

10.1007/BF02099787

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a relation between the conformal factor in the stationary axisymmetric (SAS) Einstein Maxwell field equations and a central extension of a formal loop group which is described by a group 2-cocycle on the formal loop group. The corresponding 2-cocycle on the Lie algebra of the formal loop group is the one which describes an affine Lie algebra. As a result, we see that the space of formal solutions with conformal factors is a homogeneous space of a central extension of the Hauser group.

引用

页码：15 / 31

页数：17

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