Is the CMB shift parameter connected with the growth of cosmological perturbations?

Abstract

We verify numerically that in the context of general relativity (GR), flat models which have the same ${\Omega }_{\mathrm{m}}$ and CMB shift parameter $R$ but different $H(a)$ and $w(a)$ also have very similar (within less than 8%) growth of perturbations even though the dark energy density evolution is quite different. This provides a direct connection between geometrical and dynamical tests of dark energy and may be used as a cosmological test of general relativity.

6 pages, 3 figures, Accepted for publication in MNRAS

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• Dark Energy
• Hubble expansion & Structure Formation in Time Varying Vacuum Models
• Late time approaches to the Hubble tension deforming $H(z)$, worsen the growth tension
• Interacting viscous dark fluids
• Constraints on dark energy models from radial baryon acoustic scale measurements
• Dark energy homogeneity in general relativity: Are we applying it correctly?
• Quadrature algorithms to the luminosity distance with a time-dependent dark energy model