Creation of the universe with a stealth scalar field

Abstract

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 with a stealth field is possible for a discrete value of the coupling constant and its creation probability is always less than that with a trivial scalar field. However, those creation rates can be almost the same depending on the parameters of the theory.

arXiv comment7 pages; v2, references added; v3, creation of the open universe added

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Cited by in corpus (14)

• Static and rotating solutions for Vector-Galileon theories
• Three-dimensional black holes with conformally coupled scalar and gauge fields
• Jordan frame no-hair for spherical scalar-tensor black holes
• AdS black holes with arbitrary scalar coupling
• A no-hair theorem for spherically symmetric black holes in $R^2$ gravity
• The Conformal Stealth of any Standard Cosmology
• Cosmological stealths with nonconformal couplings
• Stealths on $(1+1)$-dimensional dilatonic gravity
• To stealth or not to stealth: Thermodynamics of stealth black holes
• On symmetry inheritance of nonminimally coupled scalar fields
• Non-Noetherian conformal Cheshire effect
• Massive stealth scalar fields from field redefinition method
• Stealth's cosmologies
• Electromagnetically and gravitationally stealth fields