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Inflationary epoch in the presence of holographic dark energy

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arxiv 2111.05760 v2 pith:2VJAWFI7 submitted 2021-11-10 astro-ph.CO gr-qc

classification astro-ph.COgr-qc
keywords holographiccorrectiondarkinflationarydecaysenergyepsilonfield
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We analyze the effects of the holographic dark energy model in a single field slow-roll inflation, taking into account both the holographic and the dark radiation components. In particular, we obtain the background evolution and compute the scalar and tensor power spectra. For the scalar sector we show that the power spectrum of the curvature perturbation encompasses the standard single field result and a correction proportional to $\Omega_{\rm hde}/\epsilon$, where $\Omega_{\rm hde}$ is the fractional density of the holographic component and $\epsilon$ is the first slow-roll parameter. This correction might be of order unity in the very beginning of the inflationary phase and decays rapidly. For the primordial gravitational waves we find the spectral index receives a correction from the graviton mass term, which decays in the first inflationary e-folds.

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