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タイトル: Estimate of the radius responsible for quasinormal modes in the extreme Kerr limit and asymptotic behavior of the Sasaki-Nakamura transformation
著者: Nakano, Hiroyuki
Sago, Norichika
Tanaka, Takahiro  kyouindb  KAKEN_id
Nakamura, Takashi
発行日: 8-Aug-2016
出版者: Oxford University Press
誌名: Progress of Theoretical and Experimental Physics
巻: 2016
論文番号: 083E01
抄録: The Sasaki.Nakamura transformation gives a short-ranged potential and a convergent source term for the master equation of perturbations in the Kerr space-time. In this paper, we study the asymptotic behavior of the transformation, and present a new relaxed necessary and sufficient condition for the transformation to obtain the short-ranged potential in the assumption that the transformation converges in the far distance. Also, we discuss the peak location of the potential which is responsible for quasinormal mode frequencies inWKBanalysis. Finally, in the extreme Kerr limit, a/M → 1, where M and a denote the mass and spin parameter of a Kerr black hole, respectively, we find the peak location of the potential, rp/M ≲ 1 + 1.8 (1 - a/M)[1/2], by using the new transformation. The uncertainty of the location is as large as that expected from the equivalence principle.
著作権等: © 2016 The Author(s). Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
URI: http://hdl.handle.net/2433/217558
DOI(出版社版): 10.1093/ptep/ptw098
出現コレクション:学術雑誌掲載論文等

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