dc.contributor.author | Gasperin, E | |
dc.contributor.author | Valiente Kroon, JA | |
dc.date.accessioned | 2017-09-26T12:22:33Z | |
dc.date.available | 2017-09-26T12:22:33Z | |
dc.date.issued | 2017-09 | |
dc.date.submitted | 2017-09-15T22:33:18.118Z | |
dc.identifier.citation | Gasperín, E. and Valiente Kroon, J. (2017). Polyhomogeneous expansions from time symmetric initial data. Classical and Quantum Gravity, [online] 34(19), p.195007. Available at: http://iopscience.iop.org/article/10.1088/1361-6382/aa87bf/meta;jsessionid=14B2533BED3B2A0D2818D240CC516931.ip-10-40-2-120#acknowledgements. | en_US |
dc.identifier.issn | 0264-9381 | |
dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/25895 | |
dc.description.abstract | We make use of Friedrich's construction of the cylinder at spatial infinity to relate the logarithmic terms appearing in asymptotic expansions of components of the Weyl tensor to the freely specifiable parts of time symmetric initial data sets for the Einstein field equations. Our analysis is based on the assumption that a particular type of formal expansions near the cylinder at spatial infinity corresponds to the leading terms of actual solutions to the Einstein field equations. In particular, we show that if the Bach tensor of the initial conformal metric does not vanish at the point at infinity then the most singular component of the Weyl tensor decays near null infinity as $O(\tilde{r}^{-3}\ln \tilde{r})$ so that spacetime will not peel. We also provide necessary conditions on the initial data which should lead to a peeling spacetime. Finally, we show how to construct global spacetimes which are candidates for non-peeling (polyhomogeneous) asymptotics. | en_US |
dc.description.sponsorship | EG gratefully acknowledges support from Consejo Nacional de Ciencia y Tecnología (CONACyT Scholarship 494039/218141). | en_US |
dc.publisher | IOP Publishing | en_US |
dc.relation.ispartof | Classical and Quantum Gravity | |
dc.relation.isreplacedby | 123456789/54224 | |
dc.relation.isreplacedby | https://qmro.qmul.ac.uk/handle/123456789/54224 | |
dc.rights | This is a pre-copyedited, author-produced version of an article accepted for publication in Classical and Quantum Gravity following peer review. The version of record is available http://iopscience.iop.org/article/10.1088/1361-6382/aa87bf/meta;jsessionid=14B2533BED3B2A0D2818D240CC516931.ip-10-40-2-120#references | |
dc.title | Polyhomogeneous expansions from time symmetric initial data | en_US |
dc.type | Article | en_US |
dc.rights.holder | © Copyright 2017 IOP Publishing | |
dc.identifier.doi | 10.1088/1361-6382/aa87bf | |
pubs.publication-status | Published online | |