| New infinite-dimensional hidden symmetries for the stationary axisymmetric Einstein－Maxwell equations with multiple Abelian gauge fields |
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| 引用本文： | 高亚军.New infinite-dimensional hidden symmetries for the stationary axisymmetric Einstein－Maxwell equations with multiple Abelian gauge fields[J].中国物理 B,2004,13(5):602-611. |
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| 作者姓名： | 高亚军 |
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| 作者单位： | Department of Physics, Bohai University, Jinzhou 121003, China |
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| 基金项目： | Project supported by the Science Foundation from the Education Department of Liaoning Province of China (Grant No 202142036). |
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| 摘 要： | By proposing a so-called extended hyperbolic complex (EHC) function method, an Ernst-like (p+2)×(p+2) matrix EHC potential is introduced for the stationary axisymmetric (SAS) Einstein－Maxwell theory with p Abelian gauge fields (EM-p theory, for short), then the field equations of the SAS EM-p theory are written as a so-called Hauser－Ernst-like self-dual relation for the EHC matrix potential. Two Hauser－Ernst-type EHC linear systems are established, based on which some new parametrized symmetry transformations for the SAS EM-p theory are explicitly constructed. These hidden symmetries are found to constitute an infinite-dimensional Lie algebra, which is the semidirect product of the Kac－Moody algebra su(p+1,1)\otimes R(t,t^{-1}) and Virasoro algebra (without centre charges). All of the SAS EM-p theories for p=0,1,2,… are treated in a unified formulation, p=0 and p=1 correspond, respectively, to the vacuum gravity and the Einstein－Maxwell cases.
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| 关 键 词： | 静态轴对称爱因斯坦-麦克斯韦理论 阿贝尔标准场 数学物理方法 双曲复合函数 EHC线性系统 |
| 收稿时间： | 2003-06-13 |
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