Hideki Maeda, Kei-ichi Maeda
The stealth scalar field is a non-trivial configuration without any back-reaction to geometry, which is characteristic for non-minimally coupled scalar fields. Studying the creation probability of the de Sitter universe with a stealth scalar field by the Hartle and Hawking's semi-classical method, we show that the effect of the stealth field can be significant. For the class of scalar fields we consider, creation of the universe with a stealth field is possible for a discrete value of the coupling constant and its creation rate is almost the same as that of the universe in vacuum.
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http://arxiv.org/abs/1208.5777
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