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

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 χ 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 ) to the inner Hubble constant (H 0 ), (2) the best-fit outer density parameter (Ω 0 ) (and cosmological constant parameter (λ II 0 )) increases (and decreases) with the increase of R, respectively, and (3) (Ω 0 , λ 0 ) can be (1, 0) for R ≈ 0.8.