Killing–Yano forms of a class of spherically symmetric space-times: A unified generation of higher forms
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Metric coefficient functions and the numbers of linearly independent KY forms of some well-known spherically symmetric space-times. For all these cases, is the radial coordinate . The numbers on the fifth column represent the dimensions of the corresponding symmetry algebras whose common part consists of three well-known SO(3) generators. The last two columns denote the numbers and of the linearly independent KY 2- and 3-forms, which are explicitly calculated in the main text. The fifth row represents three different forms of the de Sitter space-time, of which the third one consists of four cases with different time evolutions given in Sec. VI. The numbers for the maximally symmetric space-times, such as those of Minkowski and de Sitter, represent the upper bounds for dimension .
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