Constraints from primordial black hole formation at the end of inflation

Understand

Primordial black hole (PBH) abundance limits constrain the primordial power spectrum, and hence models of inflation, on scales far smaller than those probed by cosmological observations.

• Single field inflation models which are compatible with all cosmological data can have large enough perturbations on small scales to overproduce PBHs, and hence be excluded.
• The standard formulae for the amplitude of perturbations do not hold for modes that exit the horizon close to the end of inflation however.
• We use a modified flow analysis to identify models of inflation where the amplitude of perturbations on small scales is large.