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.

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

References in corpus (6)

• The Classical Universes of the No-Boundary Quantum State
• The No-Boundary Measure of the Universe
• Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime
• Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4
• Non-Gravitating Scalars and Spacetime Compactification
• Non-Gravitating Scalar Field in the FRW Background

Cited by in corpus (6)

• 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
• Stealths on $(1+1)$-dimensional dilatonic gravity
• To stealth or not to stealth: Thermodynamics of stealth black holes
• Non-Noetherian conformal Cheshire effect