Analytic volumes and maximum volumes for any q(0) in standard Friedmann cosmology

Details Analytic volumes and maximum volumes for any q(0) in standard Friedmann cosmology Analytic volumes and maximum volumes for any q(0) in standard Friedmann cosmology

Feb 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...242...13m&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 242, no. 1, Feb. 1991, p. 13-16. Research supported by NATO and Weizmann Insti

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Extragalactic Radio Sources, Quasars, Stellar Luminosity, Computational Astrophysics, Luminous Intensity, Red Shift, Stellar Evolution

Scientific paper

Analytic expressions of various quantities of interest are given for a Friedmann cosmology with null cosmological constant. Two equivalent expressions of V(z), the coexpanding volume of the sphere out to redshift z are derived. The definition of the luminosity distance, dL (z), is then inverted, allowing to express the maximum redshift z(max) in terms of the intrinsic luminosity of a source and of the limiting flux density of a complete sample. The maximum volume V(max) then follows from the V(z) relation first established. Such expressions are useful either for application of the V/V(max) test or for the derivation of the luminosity function of any class of extragalactic sources from complete samples.

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