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

Astronomy and Astrophysics – Astrophysics

Scientific paper

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16 pages, 7 figures in separate uuencoded file

Scientific paper

10.1086/175854

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.

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