Abstract
The Hubble IR cutoff in Barrow holographic dark energy in presence of neutrino masses using the latest observational data is investigated. The aim of this paper is twofold. At first we want to show that as it is well known, for spatially flat FRW cosmologies, the holographic dark energy disfavors the Hubble parameter as a candidate for the IR cutoff. We show that while the Hubble IR cutoff in standard holographic dark energy (HDE) prohibits accelerating expansion of the universe, the exponent parameter \(\Delta \) in Barrow holographic dark energy (BHDE) significantly affect EoS parameter and under condition, \(\Delta >\frac{\Omega _m+2\Omega _r}{\Omega _{B}}\), in (BHDE), the universe could experience accelerated expansion regime. The other is put constrain on \(\sum m_{\nu }\), \(N_{eff}\), \(\Delta \) and the other parameters of the model using latest observational data. For this purpose, we employ the current cosmological observations, including the baryon acoustic oscillation measurements, the type Ia supernova data including Both Pantheon and Union2 data and the latest direct measurement of \(H_{0}\) as well. Under the constraint of the all-data combination, we obtain \(\sum m_{\nu }<0.134~\textrm{eV} \ \ 95\% CL\) and \(N_{eff}=2.92^{+0.12}_{-0.12} \ 68\% CL\) which are in good agreement with Planck 2018 results. Also, we find the best value for exponent parameter as \(\Delta =1.74^{+0.25}_{-0.17} \ 68\% CL\). For the best values of \(\Delta \) and the other parameters of the model the EoS parameter shows the favored cosmological evolution for the universe which starts from the radiation dominated, passing the matter dominated and finally reaches the dark energy dominated. We also consider the holographic dark energy with interacting term \(Q=3\beta H\rho _{B}\), for this case under the condition \(\Delta -3\beta >\frac{\Omega _m+2\Omega _r}{\Omega _{B}}\) the model can describe the late time acceleration of the Universe. For this case, we find \(\Delta =0.52^{+0.1}_{-0.08}\) and \(\beta =-0.15^{+0.06}_{-0.06}\) 68% CL,\(\sum m_{\nu }<0.152~\textrm{eV} \ \ 95\% CL\) and \(N_{eff}=3.05^{+0.13}_{-0.13} \ 68\% CL\) which are in good agreement with recent Planck results.
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Salehi, A., Pourali, M. & Abedini, Y. Search for neutrino masses in the Barrow holographic dark energy cosmology with Hubble horizon as IR cutoff. Gen Relativ Gravit 55, 57 (2023). https://doi.org/10.1007/s10714-023-03104-9
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DOI: https://doi.org/10.1007/s10714-023-03104-9