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  The mass and angular momentum of reconstructed metric perturbations

van de Meent, M. (2017). The mass and angular momentum of reconstructed metric perturbations. Classical and quantum gravity, 34(12): 124003. doi:10.1088/1361-6382/aa71c3.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-AC36-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-FA9B-6
Genre: Journal Article

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 Creators:
van de Meent, Maarten1, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We prove a key result regarding the mass and angular momentum content of linear vacuum perturbations of the Kerr metric obtained through the formalism developed by Chrzarnowski, Cohen, and Kegeles (CCK). More precisely we prove that the Abbott-Deser mass and angular momentum integrals of any such perturbation vanish, when that perturbation was obtained from a regular Fourier mode of the Hertz potential. As a corollary we obtain a generalization of previous results on the completion of the `no string' radiation gauge metric perturbation generated by a point particle. We find that for any bound orbit around a Kerr black hole, the mass and angular momentum perturbations completing the CCK metric are simply the energy and angular momentum of the particle "outside" the orbit and vanish "inside" the orbit.

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 Dates: 2017-02-032017-07-182017
 Publication Status: Published in print
 Pages: Version accepted be CQG
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1702.00969
DOI: 10.1088/1361-6382/aa71c3
URI: http://arxiv.org/abs/1702.00969
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 34 (12) Sequence Number: 124003 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1