Geroch-Held-Penrose形式主义的高维推广
Generalization of the Geroch-Held-Penrose formalism to higher dimensions
摘要：
Geroch，Held和Penrose发明了一种研究时空的形式主义，允许一个或两个首选零方向。这种方法对于研究代数特殊时空及其扰动是非常有用的。在本文中，形式主义推广到高维时空。这种新的形式主义导致的方程是相当简单的比那些更高的维纽曼-彭罗斯形式主义以前采用。利用新的形式化方法分析了p-型测试场的动力学性质，并证明了一些关于代数特殊p-型场的结果。
英文摘要：
Geroch, Held and Penrose invented a formalism for studying spacetimes admitting one or two preferred null directions. This approach is very useful for studying algebraically special spacetimes and their perturbations. In the present paper, the formalism is generalized to higher-dimensional spacetimes. This new formalism leads to equations that are considerably simpler than those of the higher-dimensional Newman-Penrose formalism employed previously. The dynamics of p-form test fields is analyzed using the new formalism and some results concerning algebraically special p-form fields are proved.
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