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Symmetry 2019, 11(1), 36;

Massive Spin Zero Fields in Cosmology and the Tail-Free Property

Department of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, QC J1M 1Z7, Canada
Received: 4 December 2018 / Revised: 14 December 2018 / Accepted: 28 December 2018 / Published: 2 January 2019
(This article belongs to the Special Issue Cosmology and Quantum Vacuum)
Full-Text   |   PDF [258 KB, uploaded 2 January 2019]


Fields of spin s 1 / 2 satisfying wave equations in a curved space obey the Huygens principle under certain conditions clarified by a known theorem. Here, this theorem is generalized to spin zero and applied to an inflaton field in de Sitter-like space, showing that tails of scalar radiation are an unavoidable physical feature. Requiring the absence of tails, on the contrary, necessarily implies an unnatural tuning between cosmological constant, scalar field mass, and coupling constant to the curvature. View Full-Text
Keywords: scalar waves; Huygens’ principle; tails of radiation; inflation scalar waves; Huygens’ principle; tails of radiation; inflation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Faraoni, V. Massive Spin Zero Fields in Cosmology and the Tail-Free Property. Symmetry 2019, 11, 36.

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