| 约化轴对称Einstein-Maxwell场方程的统一二重Ernst形式及其新解 |
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| 引用本文： | 高亚军,杨文杰. 约化轴对称Einstein-Maxwell场方程的统一二重Ernst形式及其新解[J]. 渤海大学学报(自然科学版), 1998, 0(1) |
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| 作者姓名： | 高亚军 杨文杰 |
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| 作者单位： | 锦州师范学院(高亚军)，锦州石化公司职工大学(杨文杰) |
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| 摘 要： | 本文将二重复函数方法应用于更大范围，同时处理轴对称Ｅｉｎ－ｓｔｅｉｎ－Ｍａｘｗｅｌ方程的三种重要约化情况：稳态真空、静电和静磁场方程，将它们写为统一的二重复Ｅｒｎｓｔ形式。由此进一步得到了各约化情况解之间的一些变换关系，其中之一实现了Ｂｏｎｎｏｒ变换的解析延拓，并做为应用实例，具体给出了一些解，其中许多是新的。
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| 关 键 词： | 轴对称Einstein－Maxwell方程 二重复方法 Ernst方程 |
Unified Double Ernst Form of the Reduced Axisymmetric Einstein-Maxwell Equations and Their New Solutions |
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| Gao Yajun. Unified Double Ernst Form of the Reduced Axisymmetric Einstein-Maxwell Equations and Their New Solutions[J]. Journal of Bohai University:Natural Science Editio, 1998, 0(1) |
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| Authors: | Gao Yajun |
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| Abstract: | The double-complex method is used to a larger area,some reduced axisymmetric Einstein-Maxwell equations for the stationary vacuum,the electrostatic and the magnetostatic cases are written as a unified double-complex Ernst form.Some relationships among the solutions of these cases are given,one of which realizies an analytic continuation of the Bonnor transformation. As applications,some concrete solutions are obtained,many of them are new. |
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| Keywords: | axisymmetric Einstein-Maxwell equation double-complex method Ernst equation |
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