New infinite-dimensional symmetry groups for the stationary axisymmetric Einstein--Maxwell equations
with multiple Abelian gauge fields |
| |
Authors: | Gao Ya-Jun |
| |
Institution: | Department of Physics, Bohai University, Jinzhou 121000,China |
| |
Abstract: | The so-called extended hyperbolic complex (EHC) function method
is used to study further the stationary axisymmetric Einstein--Maxwell theory with
$p$ Abelian gauge fields (EM-$p$ theory, for short). Two EHC structural
Riemann--Hilbert (RH) transformations are constructed and are then shown to give
an infinite-dimensional symmetry group of the EM-$p$ theory. This symmetry group is
verified to have the structure of semidirect product of Kac--Moody group
$\widehat{SU(p+1,1)}$ and Virasoro group. Moreover, the infinitesimal
forms of these
two RH transformations are calculated and found to give exactly the same
infinitesimal transformations as in previous author's paper
by a different scheme. This demonstrates that the results
obtained in the present paper provide some exponentiations of all the infinitesimal
symmetry transformations obtained before. |
| |
Keywords: | general relativity extended hyperbolic complex function method symmetry group |
本文献已被 维普 等数据库收录! |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|