Abstract
It is shown that the serious problem on the cosmological tension between the direct measurements of the Hubble constant at present and the constant derived from the Planck measurements of the CMB anisotropies can be solved by considering the renormalized model parameters. They are deduced by taking the spatial average of second-order perturbations in the flat Lambda-CDM model, which includes random adiabatic fluctuations.
Highlights
High precision cosmology has started with the measurements of fluctuations in the cosmic microwave background radiation (CMB) by WMAP[1] and Planck[2, 3] collaboration
It is shown that the tension can be solved by considering the renormalized model parameters which are deduced by taking the spatial average of second-order perturbations in the flat Λ-CDM model, which includes random adiabatic fluctuations
In Appendix B, we show the model parameters corresponding to Hubble constants in Eq (2)
Summary
High precision cosmology has started with the measurements of fluctuations in the cosmic microwave background radiation (CMB) by WMAP[1] and Planck[2, 3] collaboration. Their studies have been useful to determine the Hubble constant and the cosmological parameters. It is shown that the tension can be solved by considering the renormalized model parameters which are deduced by taking the spatial average of second-order perturbations in the flat Λ-CDM model, which includes random adiabatic fluctuations. 2, we show the general-relativistic second-order perturbation theory in the flat Λ-CDM model, which was derived by the present author[10]. Other renormalized model parameters are derived due to the average of second-order density perturbations. In Appendix B, we show the model parameters corresponding to Hubble constants in Eq (2)
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