Multipole moments of bumpy black holes
General relativity predicts the existence of black holes, compact objects whose spacetimes depend only on their mass, spin, and charge in vacuum (the “no-hair” theorem). As various observations probe deeper into the strong fields of black hole candidates, it is becoming possible to test this predict...
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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/1721.1/63161 |
| _version_ | 1826189435260108800 |
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| author | Vigeland, Sarah Jane |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Vigeland, Sarah Jane |
| author_sort | Vigeland, Sarah Jane |
| collection | MIT |
| description | General relativity predicts the existence of black holes, compact objects whose spacetimes depend only on their mass, spin, and charge in vacuum (the “no-hair” theorem). As various observations probe deeper into the strong fields of black hole candidates, it is becoming possible to test this prediction. Previous work suggested that such tests can be performed by measuring whether the multipolar structure of black hole candidates has the form that general relativity demands, and introduced a family of “bumpy black hole” spacetimes to be used for making these measurements. These spacetimes have generalized multipoles, where the deviation from the Kerr metric depends on the spacetime’s “bumpiness.” In this paper, we show how to compute the Geroch-Hansen moments of a bumpy black hole, demonstrating that there is a clean mapping between the deviations used in the bumpy black hole formalism and the Geroch-Hansen moments. We also extend our previous results to define bumpy black holes whose current moments, analogous to magnetic moments of electrodynamics, deviate from the canonical Kerr value. |
| first_indexed | 2024-09-23T08:14:37Z |
| format | Article |
| id | mit-1721.1/63161 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:14:37Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/631612022-09-23T11:52:42Z Multipole moments of bumpy black holes Vigeland, Sarah Jane Massachusetts Institute of Technology. Department of Physics MIT Kavli Institute for Astrophysics and Space Research Vigeland, Sarah Jane Vigeland, Sarah Jane General relativity predicts the existence of black holes, compact objects whose spacetimes depend only on their mass, spin, and charge in vacuum (the “no-hair” theorem). As various observations probe deeper into the strong fields of black hole candidates, it is becoming possible to test this prediction. Previous work suggested that such tests can be performed by measuring whether the multipolar structure of black hole candidates has the form that general relativity demands, and introduced a family of “bumpy black hole” spacetimes to be used for making these measurements. These spacetimes have generalized multipoles, where the deviation from the Kerr metric depends on the spacetime’s “bumpiness.” In this paper, we show how to compute the Geroch-Hansen moments of a bumpy black hole, demonstrating that there is a clean mapping between the deviations used in the bumpy black hole formalism and the Geroch-Hansen moments. We also extend our previous results to define bumpy black holes whose current moments, analogous to magnetic moments of electrodynamics, deviate from the canonical Kerr value. National Science Foundation (U.S.) (Grant No. PHY-0449884) United States. National Aeronautics and Space Administration (NASA) (NNX08AL42G) 2011-06-01T13:39:18Z 2011-06-01T13:39:18Z 2010-11 2010-08 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/63161 Vigeland, Sarah J. “Multipole Moments of Bumpy Black Holes.” Physical Review D 82.10 (2010) : 104041. © 2010 The American Physical Society en_US http://dx.doi.org/10.1103/PhysRevD.82.104041 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 Multipole moments of bumpy black holes |
| title | Multipole moments of bumpy black holes |
| title_full | Multipole moments of bumpy black holes |
| title_fullStr | Multipole moments of bumpy black holes |
| title_full_unstemmed | Multipole moments of bumpy black holes |
| title_short | Multipole moments of bumpy black holes |
| title_sort | multipole moments of bumpy black holes |
| url | http://hdl.handle.net/1721.1/63161 |
| work_keys_str_mv | AT vigelandsarahjane multipolemomentsofbumpyblackholes |