Investigating The θ-z Relation Of Double-lobed Quasars In The "First" Survey

Mathematics – Logic

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Scientific paper

For nearly forty years, radio astronomers have attempted to use double-lobed radio sources to constrain the angular size-redshift (θ-z) relation and to derive cosmological parameters therefrom. Apart from a few recent studies, most of these attempts have, embarrassingly, shown generally consistency with a static Euclidean universe rather than with Friedmann models. Two more recent θ-z studies have observed directly the expected growth in angular size above z 2, and have attributed earlier results to a combination of selection effects, sample definitions, and inconsistencies in analysis. However, these more successful demonstrations have failed to distinguish among different Friedmann models. We have created a catalog of 730 FR-II quasars with sizes and morphologies obtained from the VLA FIRST survey and redshifts from the spectroscopic catalog of SDSS DR5 QSOs. This is by far the largest sample assembled to date. Using statistical analyses, we find evidence for mild apparent evolution but no intrinsic evolution of sizes with redshift. In addition, there is no evidence for an evolving distribution of projected sizes for these sources with redshift. A search for a minimum χ2 clearly rules out a static Euclidean model. The multi-dimensional χ2-surface has degeneracies in its parameters which can be resolved only with additional, independent information. We also outline a method for inferring the approximate shapes of the instrinsic size distributions which is helpful for theoretical modeling of FR-II sources and their evolution.

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