Bumpy black holes in alternative theories of gravity
Name
Vigeland-2011-Bumpy black holes in.pdf
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242.37 KB
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Author(s)
Vigeland, Sarah Jane
Yunes, Nicolas
Stein, Leo Chaim
Date Issued
February 2011
Journal
Physical Review D
Publisher
American Physical Society
Citation
Vigeland, Sarah, Nicolás Yunes, and Leo Stein. “Bumpy black holes in alternative theories of gravity.” Physical Review D 83 (2011). © 2011 American Physical Society.
Version
Final published version
Abstract
We generalize the bumpy black hole framework to allow for alternative theory deformations. We construct two model-independent parametric deviations from the Kerr metric: one built from a generalization of the quasi-Kerr and bumpy metrics and one built directly from perturbations of the Kerr spacetime in Lewis-Papapetrou form. We find the conditions that these “bumps” must satisfy for there to exist an approximate second-order Killing tensor so that the perturbed spacetime still possesses three constants of the motion (a deformed energy, angular momentum and Carter constant) and the geodesic equations can be written in first-order form. We map these parametrized metrics to each other via a diffeomorphism and to known analytical black hole solutions in alternative theories of gravity. The parametrized metrics presented here serve as frameworks for the systematic calculation of extreme mass-ratio inspiral waveforms in parametrized non-general relativity theories and the investigation of the accuracy to which space-borne gravitational wave detectors can constrain such deviations.
MIT Department
Massachusetts Institute of Technology. Department of Physics
MIT Kavli Institute for Astrophysics and Space Research
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.83.104027
