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Costa, J. L., Alho, A. & Natário, J. (2012). Spherical linear waves in de Sitter spacetime. Journal of Mathematical Physics, 53(5). https://doi.org/10.1063/1.4721644
J. L. Costa et al., "Spherical linear waves in de Sitter spacetime", in Journal of Mathematical Physics, vol. 53, no. 5, 2012
@article{costa2012_1792641033376,
author = "Costa, J. L. and Alho, A. and Natário, J.",
title = "Spherical linear waves in de Sitter spacetime",
journal = "Journal of Mathematical Physics",
year = "2012",
volume = "53",
number = "5",
doi = "10.1063/1.4721644",
url = "http://aip.scitation.org/doi/10.1063/1.4721644"
}
TY - JOUR TI - Spherical linear waves in de Sitter spacetime T2 - Journal of Mathematical Physics VL - 53 IS - 5 AU - Costa, J. L. AU - Alho, A. AU - Natário, J. PY - 2012 SN - 0022-2488 DO - 10.1063/1.4721644 UR - http://aip.scitation.org/doi/10.1063/1.4721644 AB - 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. ER -
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