The Effects of Inhomogeneities on Evaluating the Deceleration Parameter q${}_0$

Abstract

Analytic expressions for distance-redshift relations which have been corrected for the effects of some inhomogeneities in the Friedmann-Robertson-Walker (FRW) mass density are used to illustrate the significance of inhomogeneities on a determination of $q_0$ made by using Type Ia supernovae. The value of $q_0$ inferred from a given set of observations depends on the fractional amount of matter in inhomogeneities and is up to 50 percent larger than that obtained by using the standard Mattig $m$-$z$ result for pure dust FRW models.

16 pages, 7 figures in separate uuencoded file