Massive Spin Zero Fields in Cosmology and the Tail-Free Property
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...
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doaj-f9ca111be9504fca803246e76a217f0a2020-11-24T22:18:00ZengMDPI AGSymmetry2073-89942019-01-011113610.3390/sym11010036sym11010036Massive Spin Zero Fields in Cosmology and the Tail-Free PropertyValerio Faraoni0Department of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, QC J1M 1Z7, CanadaFields 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.http://www.mdpi.com/2073-8994/11/1/36scalar wavesHuygens’ principletails of radiationinflation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Valerio Faraoni |
spellingShingle |
Valerio Faraoni Massive Spin Zero Fields in Cosmology and the Tail-Free Property Symmetry scalar waves Huygens’ principle tails of radiation inflation |
author_facet |
Valerio Faraoni |
author_sort |
Valerio Faraoni |
title |
Massive Spin Zero Fields in Cosmology and the Tail-Free Property |
title_short |
Massive Spin Zero Fields in Cosmology and the Tail-Free Property |
title_full |
Massive Spin Zero Fields in Cosmology and the Tail-Free Property |
title_fullStr |
Massive Spin Zero Fields in Cosmology and the Tail-Free Property |
title_full_unstemmed |
Massive Spin Zero Fields in Cosmology and the Tail-Free Property |
title_sort |
massive spin zero fields in cosmology and the tail-free property |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2019-01-01 |
description |
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. |
topic |
scalar waves Huygens’ principle tails of radiation inflation |
url |
http://www.mdpi.com/2073-8994/11/1/36 |
work_keys_str_mv |
AT valeriofaraoni massivespinzerofieldsincosmologyandthetailfreeproperty |
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1725783499427807232 |