Redshift and luminosity dependence of the linear sizes of powerful radio galaxies

The redshift and luminosity dependence of the linear sizes of powerful radio galaxies on epoch is investigated using samples of similar radio luminosity extending to z larger than about one. It is found that a strong evolution in linear sizes with epoch of a given form is required for q0 = 1/2. Fairly strong evolution is required even if the steep-spectrum compact sources which make an increasing contribution with redshift are excluded from the analysis. When linear size distributions of samples of radio galaxies of different luminosities are compared at similar redshifts, it is found that, at constant redshift, linear sizes increase with luminosity in a given way. Strong evidence is found that, for radio galaxies, the epoch and luminosity dependence of linear sizes can be factorized over the entire range of luminosity and redshift space.