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http://hdl.handle.net/10071/11800
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Title: The problem of a self-gravitating scalar field with positive cosmological constant
Authors: Costa, J. L.
Alho, A.
Natário, J.
Issue Date: 2013
Publisher: Springer Basel
Abstract: 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.
Description: WOS:000320002900002 (Nº de Acesso Web of Science)
Peer reviewed: yes
URI: https://ciencia.iscte-iul.pt/public/pub/id/12697
http://hdl.handle.net/10071/11800
ISSN: 1424-0637
Publisher version: The definitive version is available at: http://dx.doi.org/10.1007/s00023-012-0215-7
Appears in Collections:BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica

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