Cosmological models in Weyl geometrical scalar-tensor theory

Understand

We investigate cosmological models in a recently proposed geometrical theory of gravity, in which the scalar field appears as part of the space-time geometry.

• We extend the previous theory to include a scalar potential in the action.
• We solve the vacuum field equations for different choices of the scalar potential and give a detailed analysis of the solutions.
• We show that in some cases a cosmological scenario is found that seems to suggest the appearance of a geometric phase transition.