Mathematics – Logic
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986qjras..27..367t&link_type=abstract
Royal Astronomical Society, Quarterly Journal (ISSN 0035-8738), vol. 27, Sept. 1986, p. 367-382.
Mathematics
Logic
28
Astronomical Models, Big Bang Cosmology, Constants, Galactic Clusters, Globular Clusters, Star Clusters, Stellar Evolution, Universe
Scientific paper
If the standard model of the hot big bang cosmological theory is to be correct, all objects in the universe must be younger than the universe by the time that it took them to form. With present estimates of the age, t(cl), of galactic globular star clusters, there are difficulties in reconciling theory and observation unless two at least of the following are true: Hubble's constant, H0, has a value near to or below the bottom of its generally accepted range of values; the mean density of the universe, Omega(0), is significantly below closure density; globular clusters formed at a much higher redshift, z(cl), than that of the most distant objects at present observed. The relations between t(cl), H0, Omega(0), and z(cl) are shown graphically so as to enable the compatibility of a given set of values to be tested. If the standard model is not correct, it may be necessary to introduce a nonzero cosmological constant, Lambda. The relations between t(cl), H0, Omega(0), and z(cl) are also plotted for one particular Lambda not equal to 0 model with zero space curvature. This model does not in general allow a high value of H0.
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