Central Engines of AGN: Properties of Collimated Outflows and   Applications for Cosmology
  Powerful extended radio galaxies in the 3CR survey are observed out to redshifts of about 2. For redshifts greater than about 0.3, the average lobe-lobe size of the sources decreases monotonically with redshift for all reasonable cosmological parameter choices. This suggests that the characteristic time for which an AGN produces a highly collimated outflow that powers the radio emission is shorter for the high-redshift sources than it is for low-redshift sources. The fact that the characteristic time for which an AGN produces a collimated outflow decreases with redshift implies that the physical mechanism that gives rise to the large scale jets is not Eddington limited. Higher redshift sources have higher radio powers due the flux limit of the sample, and sources with higher radio powers have higher beam powers relative to lower redshift sources. Both the beam power and active lifetime of the AGN are controlled by processes occurring at the heart of the AGN, and may be related for non-Eddington limited processes. The relation between the active lifetime, $t_*$, and the beam power, $L_j$, of powerful extended radio galaxies is investigated here and found to be $t_*\proptoL_j^{-2/3}$. A comparison of the redshift evolution of the characteristic source sizes with that of the average lobe-lobe size for the 3CR sample of radio galaxies could be used to constrain cosmology. 
Erick J. Guerra, Ruth A. Daly (Princeton Univ. Physics)