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Abstract: Primordial black hole PBH abundance limits constrain the primordial powerspectrum, and hence models of inflation, on scales far smaller than thoseprobed by cosmological observations. Single field inflation models which arecompatible with all cosmological data can have large enough perturbations onsmall scales to overproduce PBHs, and hence be excluded. The standard formulaefor the amplitude of perturbations do not hold for modes that exit the horizonclose to the end of inflation however. We use a modified flow analysis toidentify models of inflation where the amplitude of perturbations on smallscales is large. For these models we then carry out a numerical evolution ofthe perturbations and use the PBH constraints on the power spectrum toeliminate models which overproduce PBHs. Significant PBH formation can occur inmodels in which inflation can continue indefinitely and is ended via asecondary mechanism. We demonstrate that PBHs constrain these types ofinflation models and show that a numerical evaluation of the power spectrumdecreases the number of otherwise viable models of inflation.



Autor: Amandeep S. Josan, Anne M. Green

Fuente: https://arxiv.org/



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