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Title: Spherical linear waves in de Sitter spacetime
Authors: Costa, J. L.
Alho, A.
Natário, J.
Issue Date: 2012
Publisher: American Institute of Physics
Abstract: We apply Christodoulou's framework, developed to study the Einstein-scalar field equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a first step towards the Einstein-scalar field equations with positive cosmological constant. We obtain an integro-differential 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.
Description: WOS:000304827000012 (Nº de Acesso Web of Science)
Peer reviewed: yes
DOI: 10.1063/1.4721644
ISSN: 0022-2488
Publisher version: The definitive version is available at:
Appears in Collections:BRU-RI - Artigo em revista científica internacional com arbitragem científica

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