A note on astrometric data and time varying Sun-Earth distance in the light of Carmeli metric

Abstract

In this note, we describe shortly time varying Sun-Earth distance in the light of Carmeli metric and compare the result with recent astrometric data. The graphical plot suggests that there should be linear-linear correspondence between Sun-planets distances and their time variation.
Not only that, the prediction made here suggests that Carmeli metric can be the sought after framework in order to describe the astrometric anomaly pertaining to the time varying distance of the Sun-Earth distance, and furthermore there are expected time varying distance effect between the Sun and other planets as well.