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arxiv: 1904.12878 · v3 · pith:D4JJBBW7 · submitted 2019-04-29 · astro-ph.CO · gr-qc· hep-ph

Gravitational Waves Induced by Scalar Perturbations during a Gradual Transition from an Early Matter Era to the Radiation Era

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classification astro-ph.CO gr-qchep-ph
keywords gravitationalearlytransitioninducedmatter-dominatedwavesgradualdecay
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We revisit the effects of an early matter-dominated era on gravitational waves induced by scalar perturbations. We carefully take into account the evolution of the gravitational potential, the source of these induced gravitational waves, during a gradual transition from an early matter-dominated era to the radiation-dominated era, where the transition timescale is comparable to the Hubble time at that time. Realizations of such a gradual transition include the standard perturbative reheating with a constant decay rate. Contrary to previous works, we find that the presence of an early matter-dominated era does not necessarily enhance the induced gravitational waves due to the decay of the gravitational potential around the transition from an early matter-dominated era to the radiation-dominated era.

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