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http://hdl.handle.net/10071/9720
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Campo DC | Valor | Idioma |
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dc.contributor.author | Costa, J. L. | - |
dc.contributor.author | Girão, P. M. | - |
dc.contributor.author | Natário, J. | - |
dc.contributor.author | Drumond Silva, J. | - |
dc.date.accessioned | 2015-09-10T16:43:31Z | - |
dc.date.available | 2015-09-10T16:43:31Z | - |
dc.date.issued | 2015 | - |
dc.identifier.issn | 0010-3616 | - |
dc.identifier.uri | http://hdl.handle.net/10071/9720 | - |
dc.description.abstract | This paper is the second part of a trilogy dedicated to the following problem: given spherically symmetric characteristic initial data for the Einstein–Maxwell-scalar field system with a cosmological constant ?, with the data on the outgoing initial null hypersurface given by a subextremal Reissner–Nordström black hole event horizon, study the future extendibility of the corresponding maximal globally hyperbolic development as a “suitably regular” Lorentzian manifold. In the first paper of this sequence (Costa et al., Class Quantum Gravity 32:015017, 2015), we established well posedness of the characteristic problem with general initial data. In this second paper, we generalize the results of Dafermos (Ann Math 158:875–928, 2003) on the stability of the radius function at the Cauchy horizon by including a cosmological constant. This requires a considerable deviation from the strategy followed in Dafermos (Ann Math 158:875–928, 2003), focusing on the level sets of the radius function instead of the red-shift and blue-shift regions. We also present new results on the global structure of the solution when the free data is not identically zero in a neighborhood of the origin. In the third and final paper (Costa et al., On the global uniqueness for the Einstein–Maxwell-scalar field system with a cosmological constant. Part 3. Mass inflation and extendibility of the solutions. arXiv:?1406.?7261, 2015), we will consider the issue of mass inflation and extendibility of solutions beyond the Cauchy horizon. | eng |
dc.language.iso | eng | - |
dc.publisher | Springer | - |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/132978/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/114397/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/110759/PT | - |
dc.rights | openAccess | por |
dc.title | On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant. Part 2: structure of the solutions and stability of the cauchy horizon | eng |
dc.type | article | - |
dc.pagination | 903 - 947 | - |
dc.publicationstatus | Publicado | por |
dc.peerreviewed | yes | - |
dc.journal | Communications in Mathematical Physics | - |
dc.distribution | Internacional | por |
dc.volume | 339 | - |
dc.number | 3 | - |
degois.publication.firstPage | 903 | - |
degois.publication.lastPage | 947 | - |
degois.publication.issue | 3 | - |
degois.publication.title | On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant. Part 2: structure of the solutions and stability of the cauchy horizon | eng |
dc.date.updated | 2019-05-07T13:28:42Z | - |
dc.description.version | info:eu-repo/semantics/submittedVersion | - |
dc.identifier.doi | 10.1007/s00220-015-2433-6 | - |
dc.subject.fos | Domínio/Área Científica::Ciências Naturais::Matemáticas | por |
iscte.identifier.ciencia | https://ciencia.iscte-iul.pt/id/ci-pub-18527 | - |
iscte.alternateIdentifiers.wos | WOS:000360090500004 | - |
iscte.alternateIdentifiers.scopus | 2-s2.0-84939652843 | - |
Aparece nas coleções: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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1406_7253v3.pdf | Pré-print | 525,36 kB | Adobe PDF | Ver/Abrir |
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