Okounkova, Maria and Scheel, Mark A. and Teukolsky, Saul A. (2019) Evolving metric perturbations in dynamical Chern-Simons gravity. Physical Review D, 99 (4). Art. No. 044019. ISSN 2470-0010. doi:10.1103/PhysRevD.99.044019. https://resolver.caltech.edu/CaltechAUTHORS:20190215-112239838
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Abstract
The stability of rotating black holes in dynamical Chern-Simons gravity (dCS) is an open question. To study this issue, we evolve the leading-order metric perturbation in order-reduced dynamical Chern-Simons gravity. The source is the leading-order dCS scalar field coupled to the spacetime curvature of a rotating black hole background. We use a well-posed, constraint-preserving scheme. We find that the leading-order metric perturbation numerically exhibits linear growth, but that the level of this growth converges to zero with numerical resolution. This analysis shows that spinning black holes in dCS gravity are numerically stable to leading-order perturbations in the metric.
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Additional Information: | © 2019 American Physical Society. Received 26 November 2018; published 14 February 2019. We would like to thank Leo Stein for helpful discussions, providing us with the code used to generate the initial data in [26], and careful reading of this manuscript. We would also like to thank Luis Lehner for suggesting this project. This work was supported in part by the Sherman Fairchild Foundation and National Science Foundation Grants No. PHY-1708212 and No. PHY-1708213 at Caltech and No. PHY-1606654 at Cornell. Computations were performed using the Spectral Einstein Code [21]. All computations were performed on the Wheeler cluster at Caltech, which is supported by the Sherman Fairchild Foundation and by Caltech. | ||||||||||
Group: | Walter Burke Institute for Theoretical Physics, Astronomy Department | ||||||||||
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Issue or Number: | 4 | ||||||||||
DOI: | 10.1103/PhysRevD.99.044019 | ||||||||||
Record Number: | CaltechAUTHORS:20190215-112239838 | ||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190215-112239838 | ||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
ID Code: | 92955 | ||||||||||
Collection: | CaltechAUTHORS | ||||||||||
Deposited By: | Tony Diaz | ||||||||||
Deposited On: | 19 Feb 2019 22:47 | ||||||||||
Last Modified: | 16 Nov 2021 16:54 |
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