Constant-roll inflation and primordial black holes within Barrow entropic framework
arXiv:2401.15451 · doi:10.1016/j.dark.2025.102072
Abstract
In this paper, starting from the modified Einstein field equations, we derive the modified scalar spectral index and the modified tensor-to-scalar ratio in Barrow entropy model, calculate their values for the power-law, periodic, and hilltop potential models, constrain the model parameter and the potential parameter using Planck 2018 data, and find that increasing causes a significant decrease in . Then, we calculate the primordial curvature perturbation power spectra, primordial black hole (PBH) abundance, and scalar induced gravitational waves (SIGWs) for these models, finding PBH mass of approximately , PBH abundance nearly , and the peak frequencies of SIGWs on the order , indicating that these models not only generate sufficient PBHs which can contribute one-third of the dark matter content but could also be detected by next-generation missions such as LISA, Taiji, and TianQin. Subsequently, we analyze the evolution of PBHs and find that when the effective equation of state parameter evolves from to , the accretion mass increases to approximately , while the temperature of the PBHs decreases from to , suggesting that PBHs exist and are detectable today.
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