Brans-Dicke classical cosmology in Einstein frame and metric

Abstract

Pauli (or Einstein) frame is used to study the Brans-Dicke gravity theory, minimally coupled with dilatonic Brans-Dicke scalar field, whose solutions involve degenerate metrics. Some of these solutions exhibit transitions from an Euclidean domain to a Lorentzian space-time corresponding to a spatially flat Robertson-Walker cosmology.

Keywords

• Brans Dicke gravity
• metric signature transition
• Robertson Walker metric
• classical cosmology
• Dilaton field
• Euclidean topology
• Lorentzian topology
• Jordan frame
• Pauli frame