Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/14159
Author(s): | Costa, J. L. Alho, A. Natário, J. |
Date: | 2012 |
Title: | Spherical linear waves in de Sitter spacetime |
Volume: | 53 |
Number: | 5 |
ISSN: | 0022-2488 |
DOI (Digital Object Identifier): | 10.1063/1.4721644 |
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. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
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Spherical linear waves in de Sitter spacetime_VP.pdf | 152,42 kB | Adobe PDF | View/Open |
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