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Analytic formula for the dynamics around inflation end and implications on primordial gravitational waves

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Published 12 March 2021 © 2021 IOP Publishing Ltd and Sissa Medialab
, , Citation Asuka Ito et al JCAP03(2021)033 DOI 10.1088/1475-7516/2021/03/033

1475-7516/2021/03/033

Abstract

We argue that primordial gravitational waves have a spectral break and its information is quite useful for exploring the early universe. Indeed, such a spectral break can be a fingerprint of the end of inflation, and the amplitude and the frequency at the break can tell us the energy scale of inflation and the reheating temperature simultaneously. In order to investigate the spectral break, we give an analytic formula for evolution of the Hubble parameter around the end of inflation where the slow roll approximation breaks down. We also evaluate the spectrum of primordial gravitational waves around the break point semi-analytically using the analytic formula for the inflation dynamics.

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10.1088/1475-7516/2021/03/033