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  On asymptotically flat solutions of Einstein's equations periodic in time: II. Spacetimes with scalar-field sources

Bičák, J., Scholtz, M., & Tod, P. (2010). On asymptotically flat solutions of Einstein's equations periodic in time: II. Spacetimes with scalar-field sources. Classical and quantum gravity, 27(17): 175011. doi:10.1088/0264-9381/27/17/175011.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-CBF2-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-6E94-C
Genre: Journal Article

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 Creators:
Bičák, Jiří1, Author              
Scholtz, Martin2, Author
Tod, Paul3, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24008              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              
3External Organizations, ou_persistent22              

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 Abstract: We extend the work in our earlier paper (Bičák J et al 2010 Class. Quantum Grav. 27 055007) to show that time-periodic, asymptotically flat solutions of the Einstein equations analytic at {\cal I}, whose source is one of a range of scalar-field models, are necessarily stationary. We also show that, for some of these scalar-field sources, in stationary, asymptotically flat solutions analytic at {\cal I}, the scalar field necessarily inherits the symmetry. To prove these results we investigate miscellaneous properties of massless and conformal scalar fields coupled to gravity, in particular Bondi mass and its loss.

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Language(s): eng - English
 Dates: 2010-09-07
 Publication Status: Published in print
 Pages: 29
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1088/0264-9381/27/17/175011
arXiv: 1008.0248v2 [gr-qc]
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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: 27 (17) Sequence Number: 175011 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1