【摘 要】
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By proposing a so-called extended hyperbolic complex (EHC) function method, an Est-like (p + 2) × (p + 2)matrix EHC potential is introduced for the stationary
【机 构】
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Department of Physics, Bohai University, Jinzhou 121003, China
论文部分内容阅读
By proposing a so-called extended hyperbolic complex (EHC) function method, an Est-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 HauserEst-like self-dual relation for the EHC matrix potential. Two Hauser-Est-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) R(t, t-1) and Virasoro algebra (without centre charges). All of the SAS EM-p gravity and the Einstein-Maxwell cases.
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