Revealing two radio active galactic nuclei extremely near PSR J0437$-$4715
Zhixuan Li, Jun Yang, Tao An, Zsolt Paragi, Adam Deller, Cormac, Reynolds, Xiaoyu Hong, Jiancheng Wang, Hao Ding, Bo Xia, Zhen Yan, Li Guo

TL;DR
This paper identifies two nearby radio-loud active galactic nuclei near PSR J0437-4715, enabling precise astrometric measurements to test fundamental physics, including the potential variation of Newton's gravitational constant over time.
Contribution
It reports the discovery of two compact radio sources close to PSR J0437-4715, facilitating high-precision distance measurements and constraints on G's variability.
Findings
Detected two compact radio sources near PSR J0437-4715.
Sources are likely extragalactic active galactic nuclei.
Enables sub-parsec distance accuracy with VLBI.
Abstract
Newton's gravitational constant may vary with time at an extremely low level. The time variability of will affect the orbital motion of a millisecond pulsar in a binary system and cause a tiny difference between the orbital period-dependent measurement of the kinematic distance and the direct measurement of the annual parallax distance. PSR J04374715 is the nearest millisecond pulsar and the brightest at radio. To explore the feasibility of achieving a parallax distance accuracy of one light-year, comparable to the recent timing result, with the technique of differential astrometry, we searched for compact radio sources quite close to PSR J04374715. Using existing data from the Very Large Array and the Australia Telescope Compact Array, we detected two sources with flat spectra, relatively stable flux densities of 0.9 and 1.0 mJy at 8.4 GHz and separations of 13 and 45…
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