Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/24470

TitleSpherical linear waves in de Sitter spacetime
Author(s)Costa, João
Alho, Artur
Natário, José
Issue date2012
PublisherAIP Publishing
JournalJournal of Mathematical Physics
Abstract(s)We apply Christodoulou's framework, developed to study the Einstein-scalar eld equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a rst step towards the Einstein-scalar eld equations with positive cosmological constant. We obtain an integro-di erential evolution equation which we solve by taking initial data on a null cone. As a corollary we obtain elementary derivations of expected properties of linear waves in de Sitter spacetime: boundedness in terms of (characteristic) initial data, and a Price law establishing uniform exponential decay, in Bondi time, to a constant.
TypeArticle
URIhttp://hdl.handle.net/1822/24470
DOI10.1063/1.4721644
ISSN0022-2488
Publisher versionhttp://jmp.aip.org/resource/1/jmapaq/v53/i5/p052501_s1
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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