On universes with outsides and angular-size/redshift diagram for milliarcsecond radio-sources

Astronomy and Astrophysics – Astronomy

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Cosmology: Observations, Cosmology: Theory, Dark Matter, Distance Scale, Gravitational Lensing

Scientific paper

Universes with two degrees of freedom (Omega_0 and Lambda_0) are examined in the light of Kellerman's compilation of angular-size/redshift data for ultracompact radio sources. We find that low-density (Omega_0~0.2) models which are violently decelerating and have a large negative cosmological constant (q_0~-Lambda_0~3) fit the data very well, as well as the canonical cold dark matter (CDM) universe, and very much better than the spatially flat accelerating case; if Omega_0<=0.2, then 95 per cent confidence limits are -3.8<=Lambda_0<=-1.1, the lower limit being fixed by H_0t_0>=0.56. The significant qualitative feature of the theta-z curve in this context is asymptotic flatness (in the limit Omega_0-->0, Lambda_0≠0), rather than a pronounced minimum angular size. We give a mathematically rigorous argument, based upon the focusing of congruences of null geodesics, which shows that this feature is a singular property of vacuum-dominated universes.

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