Probability Distribution of the Hubble Constant and the Age of the Universe Inferred from Local Observations | Zendy

Takahiro T. Nakamura | Zendy; Yasushi Suto | Zendy

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Probability Distribution of the Hubble Constant and the Age of the Universe Inferred from Local Observations

Author(s) -

Takahiro T. Nakamura,

Yasushi Suto

Publication year - 1995

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/309580

Subject(s) - hubble's law , age of the universe , physics , galaxy , universe , de sitter universe , metric expansion of space , cosmological constant , hubble volume , cosmic variance , probability distribution , cosmology , astrophysics , dark energy , mathematical physics , mathematics , statistics , redshift

We present a method to compute the probability distribution function of the(true) Hubble constant and the age of the universe, given the estimate of theHubble constant in our nearby galaxy samples. Our method takes into accountboth the observational errors and the cosmic variance, and enables toquantitatively compute the constraints on the cosmological models. Based on thepresent local observation $H_0=80\pm17$ km/s/Mpc, the probability of $H_0<50$km/s/Mpc is about 6\% for the Einstein -- de Sitter universe ($\Omega_0=1$) and4\% for an open ($\Omega_0=0.2$) universe. These probabilities are reduced to0.8\% and 0.03\%, respectively, if the accuracy of the observationaluncertainty is improved within 10\%. Similar probabilistic constraints on $t_0$are also discussed.Comment: 8 pages, 3 figures (uuencoded postscript

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