Non perturbative effects of primordial curvature perturbations on the apparent value of a cosmological constant

Understand

We study effects on the luminosity distance of a local inhomogeneity seeded by primordial curvature perturbations of the type predicted by the inflationary scenario and constrained by the cosmic microwave background radiation.

• We find that a local underdensity originated from a one, two or three standard deviations peaks of the primordial curvature perturbations field can induce corrections to the value of a cosmological constant of the order of $0.6%,1%,1.5%$ respectively.
• These effects cannot be neglected in the precision cosmology era in which we are entering.
• Our results can be considered an upper bound for the effect of the monopole component of the local non linear structure which can arise from primordial curvature perturbations and requires a fully non perturbative relativistic treatment.