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Published June 17, 2011 | Published
Journal Article Open

A geometric framework for black hole perturbations

Abstract

Black hole perturbation theory is typically studied on time surfaces that extend between the bifurcation sphere and spatial infinity. From a physical point of view, however, it may be favorable to employ time surfaces that extend between the future event horizon and future null infinity. This framework resolves problems regarding the representation of quasinormal mode eigenfunctions and the construction of short-ranged potentials for the perturbation equations in frequency domain.

Additional Information

© 2011 American Physical Society. Received 15 February 2011; published 17 June 2011. I thank Emanuele Berti, Piotr Bizoń, Yanbei Chen, Sam Dolan, and Tanja Hinderer for discussions. This research was supported by the NSF under Grant No. PHY-0601459 and by a Sherman Fairchild Foundation grant to Caltech.

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