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Branching of quasinormal modes for nearly extremal Kerr black holes

Yang, Huan and Zhang, Fan and Zimmerman, Aaron and Nichols, David A. and Berti, Emanuele and Chen, Yanbei (2013) Branching of quasinormal modes for nearly extremal Kerr black holes. Physical Review D, 87 (4). Art. No. 041502. ISSN 2470-0010. doi:10.1103/PhysRevD.87.041502.

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We show that nearly extremal Kerr black holes have two distinct sets of quasinormal modes, which we call zero-damping modes (ZDMs) and damped modes (DMs). The ZDMs exist for all harmonic indices l and m≥0, and their frequencies cluster onto the real axis in the extremal limit. The DMs have nonzero damping for all black hole spins; they exist for all counterrotating modes (m<0) and for corotating modes with 0 ≤ μ ≲ μ_c = 0.74 (in the eikonal limit), where μ ≡ m/(l+1/2). When the two families coexist, ZDMs and DMs merge to form a single set of quasinormal modes as the black hole spin decreases. Using the effective potential for perturbations of the Kerr spacetime, we give intuitive explanations for the absence of DMs in certain areas of the spectrum and for the branching of the spectrum into ZDMs and DMs at large spins.

Item Type:Article
Related URLs:
URLURL TypeDescription
Berti, Emanuele0000-0003-0751-5130
Chen, Yanbei0000-0002-9730-9463
Additional Information:© 2013 American Physical Society. Received 13 December 2012; published 22 February 2013. We thank Sam Dolan for advice on the WKB method, and Zhongyang Zhang for discussions during the early stages of this work. This research is funded by NSF Grants No. PHY-1068881 and No. PHY-1005655, CAREER Grants No. PHY-0956189 and No. PHY-1055103, NASA Grant No. NNX09AF97G, the Sherman Fairchild Foundation, the Brinson Foundation, and the David and Barbara Groce Startup Fund at Caltech.
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Brinson FoundationUNSPECIFIED
Caltech David and Barbara Groce Startup FundUNSPECIFIED
Issue or Number:4
Classification Code:PACS: 04.25.Nx, 04.70.Bw
Record Number:CaltechAUTHORS:20130326-112826178
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Official Citation:Yang, H., F. Zhang, et al. (2013). "Branching of quasinormal modes for nearly extremal Kerr black holes." Physical Review D 87(4): 041502.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37628
Deposited By: Tony Diaz
Deposited On:15 Apr 2013 21:19
Last Modified:09 Nov 2021 23:30

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