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Published February 15, 2015 | Published + Submitted
Journal Article Open

Quasinormal modes of weakly charged Kerr-Newman spacetimes


The resonant mode spectrum of the Kerr-Newman spacetime is presently unknown. These modes, called the quasinormal modes, play a central role in determining the stability of Kerr-Newman black holes and their response to perturbations. We present a new formalism, generalized from time-independent perturbation theory in quantum mechanics, for calculating the quasinormal mode frequencies of weakly charged Kerr-Newman spacetimes of arbitrary spin. Our method makes use of an original technique for applying perturbation theory to zeroth-order solutions that are not square-integrable, and it can be applied to other problems in theoretical physics. The new formalism reveals no unstable modes, which together with previous results in the slow-rotation limit strongly indicates the modal stability of the Kerr-Newman spacetime. Our techniques and results are of interest in the areas of holographic duality, foundational problems in general relativity, and possibly in astrophysical systems.

Additional Information

© 2015 American Physical Society. Received 19 September 2014. Z. M. would like to thank his undergraduate advisor Rob Owen for extensive discussions, both pedagogical and technical, and for looking over drafts of his thesis, which covers some of the same material. The authors also thank Luis Lehner and Yiqiu Ma for conversations about perturbations of KN black holes. A. Z., H. Y., Y. C., and Z. M. were supported by NSF Grant No. PHY-1404569, CAREER Grant No. 0956189, and the David and Barbara Groce Startup Fund at Caltech. Y. C. and Z. M. were also supported by the Brinson Foundation. Z. M. was also supported by the LIGO SURF program at Caltech. This research was supported in part by the Perimeter Institute for Theoretical Physics. Research at the Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation.

Attached Files

Published - PhysRevD.91.044025.pdf

Submitted - 1409.5800v1.pdf


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