Systematic error due to isotropic inhomogeneities

Abstract

Usually the effects of isotropic inhomogeneities are not seriously taken into account in the determination of the cosmological parameters because of Copernican principle whose statement is that we do not live in the privileged domain in the universe. But Copernican principle has not been observationally confirmed yet in sufficient accuracy, and there is the possibility that there are non-negligible large-scale isotropic inhomogeneities in our universe. In this paper, we study the effects of the isotropic inhomogeneities on the determination of the cosmological parameters and show the probability that non-Copernican isotropic inhomogeneities mislead us into believing, for example, the phantom energy of the equation of state, $p=w\rho$ with $w<-1$, even in case that $w=-1$ is the true value.

23 pages, 6 figures

References in corpus (6)

• Living in a Void: Testing the Copernican Principle with Distant Supernovae
• Mimicking Dark Energy with Lemaitre-Tolman-Bondi Models: Weak Central Singularities and Critical Points
• Solving the Inverse Problem with Inhomogeneous Universes
• Observational constraints on the LLTB model
• Local and non-local measures of acceleration in cosmology
• Uncertainty on w from large-scale structure

Cited by in corpus (4)

• Observational Constraint on Spherical Inhomogeneity with CMB and Local Hubble Parameter
• Inverse Construction of the $\Lambda$LTB Model from a Distance-redshift Relation
• Can we remove the systematic error due to isotropic inhomogeneities?
• The gravitational wave background induced by nonlinear interactions between isotropic inhomogeneities and anisotropic inhomogeneous density perturbations