The ``angular size - redshift'' relation for compact radio structures in quasars and radio galaxies

We discuss the ``angular size - redshift'' relation for compact radio sources distributed over a wide range of redshifts 0.01 < z < 4.73. Our study is based on a sample of 330 5 GHz VLBI contour maps taken from the literature. Unlike extended source samples, the ``angular size - redshift'' relation for compact radio sources appears consistent with the predictions of standard Friedmann world models with q_o ~ 0.5 without the need to consider evolutionary or selection effects due to a ``linear size -- luminosity'' dependence. By confining our analysis to sources having a spectral index, -0.38 < alpha < 0.18, and a total radio luminosity greater than 10^{26} W/Hz, we are able to restrict the dispersion in the ``angular size -- redshift'' relation. The best fitting regression analysis in the framework of the Friedmann-Robertson-Walker model gives the value of the deceleration parameter q_o = 0.21 +- 0.30 if there are no evolutionary or selection effects due to a ``linear size -- luminosity'', ``linear size -- redshift'' or ``linear size -- spectral index'' dependence.