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  Extreme Bowen–York initial data

Dain, S., & Clement, M. E. G. (2009). Extreme Bowen–York initial data. Classical and Quantum Gravity, 26(03): 035020. doi:10.1088/0264-9381/26/3/035020.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-453D-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-453E-0
Genre: Journal Article

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cqg9_3_035020.pdf (Publisher version), 206KB
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 Creators:
Dain, Sergio1, Author
Clement, Maria E. Gabach, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: The Bowen–York family of spinning black hole initial data depends essentially on one, positive, free parameter. The extreme limit corresponds to making this parameter equal to zero. This choice represents a singular limit for the constraint equations. We prove that in this limit a new solution of the constraint equations is obtained. These initial data have similar properties to the extreme Kerr and Reissner–Nordström black hole initial data. In particular, in this limit one of the asymptotic ends changes from asymptotically flat to cylindrical. The existence proof is constructive, we actually show that a sequence of Bowen–York data converges to the extreme solution.

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 Dates: 2009-01-19
 Publication Status: Published in print
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 Identifiers: eDoc: 404381
DOI: 10.1088/0264-9381/26/3/035020
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 26 (03) Sequence Number: 035020 Start / End Page: - Identifier: ISSN: 0264-9381