Inflation and reheating in theories with spontaneous scale invariance
  symmetry breaking
  We study a scale-invariant model of quadratic gravity with a non-minimally
coupled scalar field. We focus on cosmological solutions and find that scale
invariance is spontaneously broken and a mass scale naturally emerges. Before
the symmetry breaking, the Universe undergoes an inflationary expansion with
nearly the same observational predictions of Starobinsky's model. At the end of
inflation, the Hubble parameter and the scalar field converge to a stable fixed
point through damped oscillations and the usual Einstein-Hilbert action is
recovered. The oscillations around the fixed point can reheat the Universe in
various ways and we study in detail some of these possibilities.
