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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)
J. L. Costa et al., "Spherical linear waves in de Sitter spacetime", in Journal of Mathematical Physics, vol. 53, no. 5, 2012
@article{costa2012_1731641081681, 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 -