Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/24538

TitleThe problem of a self-gravitating scalar field with positive cosmological constant
Author(s)Costa, João
Alho, Artur
Natário, José
Issue date2013
PublisherSpringer
JournalAnnales Henri Poincaré: A Journal of Theoretical and Mathematical Physics
Abstract(s)We study the Einstein-scalar field system with positive cosmological constant and spherically symmetric characteristic initial data given on a truncated null cone. We prove well-posedness, global existence and exponential decay in (Bondi) time, for small data. From this, it follows that initial data close enough to de Sitter data evolves to a causally geodesically complete spacetime (with boundary), which approaches a region of de Sitter asymptotically at an exponential rate; this is a non-linear stability result for de Sitter within the class under consideration, as well as a realization of the cosmic no-hair conjecture.
TypeArticle
URIhttp://hdl.handle.net/1822/24538
DOI10.1007/s00023-012-0215-7
ISSN1424-0637
Publisher versionhttp://link.springer.com/article/10.1007/s00023-012-0215-7
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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