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http://hdl.handle.net/10773/35222
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DC Field | Value | Language |
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dc.contributor.author | Giannakopoulos, Thanasis | pt_PT |
dc.contributor.author | Bishop, Nigel T. | pt_PT |
dc.contributor.author | Hilditch, David | pt_PT |
dc.contributor.author | Pollney, Denis | pt_PT |
dc.contributor.author | Zilhão, Miguel | pt_PT |
dc.date.accessioned | 2022-11-21T10:42:50Z | - |
dc.date.available | 2022-11-21T10:42:50Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 1550-7998 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/35222 | - |
dc.description.abstract | The characteristic initial (boundary) value problem has numerous applications in general relativity (GR) involving numerical studies, and is often formulated using Bondi-like coordinates. Recently it was shown that several prototype formulations of this type are only weakly hyperbolic. Presently we examine the root cause of this result. In a linear analysis we identify the gauge, constraint and physical blocks in the principal part of the Einstein field equations in such a gauge, and show that the subsystem related to the gauge variables is only weakly hyperbolic. Weak hyperbolicity of the full system follows as a consequence in many cases. We demonstrate this explicitly in specific examples, and thus argue that Bondi-like gauges result in weakly hyperbolic free evolution systems under quite general conditions. Consequently the characteristic initial (boundary) value problem of GR in these gauges is rendered ill-posed in the simplest norms one would like to employ. The possibility of finding good alternative norms, in which well-posedness is achieved, is discussed. So motivated, we present numerical convergence tests with an implementation of full GR which demonstrate the effect of weak hyperbolicity in practice. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | American Physical Society | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-APL%2F30043%2F2017/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00099%2F2020/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/OE/PD%2FBD%2F135425%2F2017/PT | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.title | Gauge structure of the Einstein field equations in Bondi-like coordinates | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.issue | 8 | pt_PT |
degois.publication.title | Physical Review D | pt_PT |
degois.publication.volume | 105 | pt_PT |
dc.identifier.doi | 10.1103/PhysRevD.105.084055 | pt_PT |
dc.identifier.essn | 1550-2368 | pt_PT |
dc.identifier.articlenumber | 084055 | pt_PT |
Appears in Collections: | CIDMA - Artigos GGDG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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2111.14794.pdf | 743.07 kB | Adobe PDF | View/Open |
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