Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-07-08
Astrophys.J. 493 (1998) 519
Astronomy and Astrophysics
Astrophysics
10 pages, Latex, 2 figures, version accepted for Ap. J
Scientific paper
10.1086/305169
There are irreducible differences between the Hubble constant measured locally and the global value. They are due to density perturbations and finite sample volume (cosmic variance) and finite number of objects in the sample (sampling variance). We quantify these differences for a suite of COBE-normalized CDM models that are consistent with the observed large-scale structure. For small samples of objects that only extend out to 10,000 km/sec, the variance can approach 4%. For the largest samples of Type Ia supernovae (SNeIa), which include about 40 objects and extend out to almost 40,000 km/sec, the variance is 1-2% and is dominated by sampling variance. Sampling and cosmic variance may be an important consideration in comparing local determinations of the Hubble constant with precision determinations of the global value that will be made from high-resolution maps of CBR anisotropy.
Shi Xiangdong
Turner Michael S.
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