Bumpy black holes in alternative theories of gravity
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 spacetim...
| Main Authors: | , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/66116 |
| _version_ | 1826196381164896256 |
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| author | Vigeland, Sarah Jane Yunes, Nicolas Stein, Leo Chaim |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Vigeland, Sarah Jane Yunes, Nicolas Stein, Leo Chaim |
| author_sort | Vigeland, Sarah Jane |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:25:58Z |
| format | Article |
| id | mit-1721.1/66116 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:25:58Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/661162022-09-30T21:04:29Z Bumpy black holes in alternative theories of gravity Vigeland, Sarah Jane Yunes, Nicolas Stein, Leo Chaim Massachusetts Institute of Technology. Department of Physics MIT Kavli Institute for Astrophysics and Space Research Yunes, Nicolas Yunes, Nicolas Vigeland, Sarah Jane Stein, Leo Chaim 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. United States. National Aeronautics and Space Administration (Einstein Postdoctoral Fellowship Award No. PF0-110080) National Science Foundation (U.S.) (Grant No. PHY- 0449884) United States. National Aeronautics and Space Administration (NASA Grant No. NNX08AL42G) Massachusetts Institute of Technology (Solomon Buchsbaum Fund) 2011-09-29T14:24:41Z 2011-09-29T14:24:41Z 2011-02 2011-05 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/66116 Vigeland, Sarah, Nicolás Yunes, and Leo Stein. “Bumpy black holes in alternative theories of gravity.” Physical Review D 83 (2011). © 2011 American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevD.83.104027 Physical Review D 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. application/pdf American Physical Society APS |
| spellingShingle | Vigeland, Sarah Jane Yunes, Nicolas Stein, Leo Chaim Bumpy black holes in alternative theories of gravity |
| title | Bumpy black holes in alternative theories of gravity |
| title_full | Bumpy black holes in alternative theories of gravity |
| title_fullStr | Bumpy black holes in alternative theories of gravity |
| title_full_unstemmed | Bumpy black holes in alternative theories of gravity |
| title_short | Bumpy black holes in alternative theories of gravity |
| title_sort | bumpy black holes in alternative theories of gravity |
| url | http://hdl.handle.net/1721.1/66116 |
| work_keys_str_mv | AT vigelandsarahjane bumpyblackholesinalternativetheoriesofgravity AT yunesnicolas bumpyblackholesinalternativetheoriesofgravity AT steinleochaim bumpyblackholesinalternativetheoriesofgravity |