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

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Abstract
The data for type Ia supernovae obtained by the High-z SN Search Team and Supernova Cosmology Project are analyzed using 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 χ2 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, H0II, to the inner Hubble constant, H0I, (2) the best-fit outer density parameter, Ω0II, and cosmological constant parameter, λ0II, are, respectively, increasing and decreasing functions of R, and (3) (Ω0II, λ0II) can be (1, 0) for R ≈0.8. Moreover, it is shown that these models are naturally consistent with the new supernova data (SN1997ff) with z = 1.7.