Constraining the radio jet proper motion of the high-redshift quasar J2134-0419 at z=4.3
K. Perger, S. Frey, K. \'E. Gab\'anyi, T. An, S. Britzen, H.-M. Cao,, D. Cseh, J. Dennett-Thorpe, L. I. Gurvits, X.-Y. Hong, I. M. Hook, Z. Paragi,, R. T. Schilizzi, J. Yang, Y. Zhang

TL;DR
This study measures the proper motion of a distant quasar's radio jet using VLBI over 15.86 years, revealing superluminal motion consistent with cosmological models and providing insights into jet orientation and speed.
Contribution
First direct measurement of the proper motion of a high-redshift quasar jet using multi-epoch VLBI observations, constraining jet speed and orientation at z=4.33.
Findings
Proper motion of 0.035 ± 0.023 mas/yr detected
Apparent superluminal speed of 4.1 ± 2.7 c
Jet viewing angle estimated below 20 degrees
Abstract
To date, PMN J2134-0419 (at a redshift z=4.33) is the second most distant quasar known with a milliarcsecond-scale morphology permitting direct estimates of the jet proper motion. Based on two-epoch observations, we constrained its radio jet proper motion using the very long baseline interferometry (VLBI) technique. The observations were conducted with the European VLBI Network (EVN) at 5 GHz on 1999 November 26 and 2015 October 6. We imaged the central 10-pc scale radio jet emission and modeled its brightness distribution. By identifying a jet component at both epochs separated by 15.86 yr, a proper motion of mu=0.035 +- 0.023 mas/yr is found. It corresponds to an apparent superluminal speed of beta_a=4.1 +- 2.7 c . Relativistic beaming at both epochs suggests that the jet viewing angle with respect to the line of sight is smaller than 20 deg, with a minimum bulk Lorentz factor…
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