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The complexification of a nonrotating sphere: An extension of the Newman–Janis algorithm
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9.In all the expressions (A1)–(A9) we do not include the terms containing first and second derivatives of a. These terms are not necessary in the context of the present work, whenever a, like in the example given in Sec. V, is such that the limit (for all r in the interval ) implies vanishing of and We have in mind functions of the form where and f, and are bounded in the interval For other choices of a, its derivatives should be included in the expressions for the spin coefficients and the energy‐momentum tensor. (We thank the referee for comments on this point).
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11.For simplicity we shall restrict ourselves, in this example, to functions such that in the limit also. (See Ref. 9).
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