Analyses of Type Ia Supernova Data in Cosmological Models with a Local Void

Abstract

The data of type Ia supernovae observed by the High-z SN Search Team and Supernova Cosmology Project are analyzed in inhomogeneous cosmological models with a local void on scales of about 200 Mpc, to derive the best-fit values of model parameters and the confidence contours. The ${\chi }^2$ fitting is found to be slightly better than that in homogeneous models. It is shown that (1) the best-fit values are most sensitive to the ratio $R$ of the outer Hubble constant ($H_0^{\mathrm{II}}$) to the inner Hubble constant ($H_0^{\mathrm{I}}$), (2) the best-fit outer density parameter (${\Omega }_0^{\mathrm{II}}$) (and cosmological constant parameter (${\lambda }_0^{\mathrm{II}}$)) increases (and decreases) with the increase of $R$, respectively, and (3) $({\Omega }_0^{\mathrm{II}},{\lambda }_0^{\mathrm{II}})$ can be $(1,0)$ for $R\approx 0.8$. Moreover it is shown that these models may be naturally consistent with the new supernova data (SN1997ff) for $z=1.7$.

12 pages, 6 figures, Accepted for publication in Prog. Theor. Phys. (Vol.106, No.5, 2001)

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