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.

arXiv comment23 pages, 6 figures

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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