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TitleThe problem of a self-gravitating scalar field with positive cosmological constant
Author(s)Costa, João
Alho, Artur
Natário, José
Issue date2013
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.
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AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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