2013
DOI: 10.1103/physrevd.88.104020
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Applicability of the Newman-Janis algorithm to black hole solutions of modified gravity theories

Abstract: The Newman-Janis algorithm has been widely used to construct rotating black hole solutions from non-rotating counterparts. While this algorithm was developed within General Relativity, it has more recently been applied to non-rotating solutions in modified gravity theories. We find that the application of the Newman-Janis algorithm to an arbitrary non-GR spherically-symmetric solution introduces pathologies in the resulting axially-symmetric metric. This then establishes that, in general, the Newman-Janis algo… Show more

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Cited by 67 publications
(52 citation statements)
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“…Thus, for any approximation of the functions h t ðrÞ and h r ðrÞ, the slowly rotating regime of the dilaton black hole is not reproduced by the metric (A4). Similar arguments were used to show that the Newman-Janis algorithm is not able to generate rotating black-hole solutions in modified gravity theories [35].…”
Section: Appendix: Johannsen-psaltis Parametrization For the Dilaton mentioning
confidence: 92%
“…Thus, for any approximation of the functions h t ðrÞ and h r ðrÞ, the slowly rotating regime of the dilaton black hole is not reproduced by the metric (A4). Similar arguments were used to show that the Newman-Janis algorithm is not able to generate rotating black-hole solutions in modified gravity theories [35].…”
Section: Appendix: Johannsen-psaltis Parametrization For the Dilaton mentioning
confidence: 92%
“…Pirogov put forward that rotating metrics obtained from the JN algorithm in Brans-Dicke theory are not solutions if α = 1 [51]. Similarly Hansen and Yunes have shown a similar result in quadratic modified gravity (which includes Gauss-Bonnet) [52]. 4 These do not include Sen's dilaton-axion black hole for which α = 1 (section 6.4), nor the BBMB black hole from conformal gravity (section 6.2).…”
Section: The Janis-newman Algorithmmentioning
confidence: 99%
“…However, it is not guaranteed that such an algorithm works beyond general relativity. In the literature there are some examples in which the algorithm works [55][56][57], as well examples in which it fails [58]. It is thus unclear whether a parametrization based on the Newman-Janis algorithm can be employed to test astrophysical black holes.…”
Section: Konoplya-rezzolla-zhidenko Parametrizationmentioning
confidence: 99%