Conformally flat Kaluza-Klein spaces, pseudo-/para-complex space forms and generalized gravitational kinks

Conformally flat Kaluza-Klein spaces, pseudo-/para-complex space forms and generalized gravitational kinks
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共形平坦的卡鲁扎-克莱因空间、伪/准复形空间形式和广义引力扭结

DOI:
10.1016/j.geomphys.2009.06.013
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发表时间:
2009
影响因子:
1.5
通讯作者:
Maraner P
Maraner P
中科院分区:
数学3区
文献类型:
--
作者:
Maraner P

文献摘要

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本文研究了任意维共形平坦空间的Kaluza-Klein约化方程。构造了与伪Kähler结构和准Kähler结构有关的特殊解类,并根据时空维数、特征标度和规范场秩进行了分类。值得注意的是,秩二的解决方案包括引力扭结连同他们的向心和离心变形。
The equations describing the Kaluza–Klein reduction of conformally flat spaces are investigated in arbitrary dimensions. Special classes of solution related to pseudo-Kähler and para-Kähler structures are constructed and classified according to spacetime dimension, signature and gauge field rank. Remarkably, rank two solutions include gravitational kinks together with their centripetal and centrifugal deformations.