Relative time delay in Bumblebee gravity

We study the effect of the Bumblebee deviation parameter l on galactic scale by means of Relative Time Delay (RTD) caused by frame dragging effect. While weak field solar system tests have been fairly accurately measured leading to an exceedingly tiny upper limit l ≤ 10 − 13 , measurements on the large astrophysical scale are yet unavailable, so we decided to keep l neither too tiny nor too large. The present work demonstrates a method of calculating the RTD as a diagnostic that could be profitably used in many other situations as well.