GAUGE FIELD CONFIGURATIONS IN CURVED SPACETIMES .2.

被引:18
作者
BOUTALEBJOUTEI, H [1 ]
CHAKRABARTI, A [1 ]
COMTET, A [1 ]
机构
[1] UNIV PARIS 11,INST PHYS NUCL,CNRS LAB,DIV PHYS THEOR,F-91406 ORSAY,FRANCE
来源
PHYSICAL REVIEW D | 1979年 / 20卷 / 08期
关键词
D O I
10.1103/PhysRevD.20.1898
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We continue the study of gauge field configurations in curved spaces, using the formalism and results of the preceding paper. A class of static, finite-action, self-dual solutions of SU(2) gauge fields on a Euclidean section of de Sitter space is presented. The action depends on a continuous parameter. The spin-connection solution is obtained as a particular case and a certain passage to the limiting case of a flat space is shown to reproduce the Euclidean Prasad-Sommerfield solution. The significance and possible interest of such solutions are discussed. The results are then generalized to a non-Einstein but conformally flat space, including de Sitter space as an Einstein limit. Next, Bäcklund-type transformations are constructed starting from self-duality constraints for such curved spaces. These transformations are applied to the above-mentioned solutions. The last two sections contain remarks on solutions with a background Robinson-Bertotti metric and on static, axially symmetric solutions, respectively. © 1979 The American Physical Society.
引用
收藏
页码:1898 / 1908
页数:11
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