Rudolph Steiner had much to say about Beings on the Sun, including our Star’s connection with the Christ.

"My dear friends, when the pupils of the old initiates looked out into the wide universe and spoke of what they saw living out there beyond the Earth in the workings of the Sun, yes, in the Sun itself — when they spoke of the sublime Spirit-Being of the Sun as proclaimed by Zarathustra, they were speaking of the very same Being Whom, in these later times, we designate as Christ." — Rudolf Steiner, MAN'S LIFE ON EARTH AND IN THE SPIRITUAL WORLDS (Health Research Books, 1960), pp. 14-15.

“The Sun was itself a kind of being of air, surrounded by that substance which had previously formed Saturn-fire, warmth. The part that had densified had formed the gaseous Sun, and what had not densified was a surging sea of fire. These beings could live on the Sun and inhale and exhale warmth, fire; they were therefore called the Spirits of Fire. They stood at the human level on the Sun and they worked in the service of humanity. One calls them Sun Spirits or Fire Spirits. Man at that time was at the stage of sleep-consciousness, the Sun-Fire Spirits had already the ego consciousness. Since then they too have developed further and ascended to higher degrees of consciousness. One calls them in Christian Esotericism Archangels. And the highest evolved Spirit Who was on the Sun as Fire Spirit, Who today is still active upon the Earth, with very highly evolved consciousness, this Sun or Fire Spirit is the Christ. In the same way the most evolved Saturn Spirit is the Father God.
“Christian Esotericism knows that there was incarnated in the body of flesh and blood of Christ-Jesus precisely such a Sun-Fire Spirit, and indeed the highest, the Regent of the Sun Spirits. That He might come on to the Earth He had to make use of a physical body, He had to live under the same earthly conditions as man, in order to be able to manifest here.”  — Rudolf Steiner, ROSICRUCIAN WISDOM (Rudolf Steiner Press, 2000), p. 97.

Credit for Image at Top of Page: https://www.azquotes.com/quote/473271

There is an interesting article online about Sirius. It contains some inaccuracies (and misspellings) but does convey some interesting information about the Sirius star system. They write:
An example of this can be seen in ancient Egypt. The priests would tell the surfs (sic) (men whom worked the land) that the sun was “god.”  Although most priests believed that the physical sun was not actually the “supreme being” itself, but instead was the spirit which flowed through the physical sun. However, there was even another level that the priests didn’t even know about… and that highest level of priests knew that although spiritual energy goes through the sun, the original source of everything comes from the star Sirius. In other words, just like how the sun keeps our physical world alive, Sirius keeps the spiritual world alive. It’s associated with the divine and even considered as the home of humanity’s “great teachers.”

They add this quote:
“This ancient people (Egyptians) knew that once every year the Parent Sun is in line with the Dog Star. Therefore, the Great Pyramid was so constructed that, at this sacred moment, the light of the Dog Star fell upon the square “Stone of God” at the upper end of the Great Gallery, descending upon the head of the high priest, who received the Super Solar Force and sought through his own perfected Solar Body to transmit to other Initiates this added stimulation for the evolution of their Godhood. This then was the purpose of the “`Stone of God,’ whereon in the Ritual, Osiris sits to bestow upon him (the illuminate) the Atf crown or celestial light.” “North and South of that crown is love,” proclaims an Egyptian hymn. “And thus throughout the teaching of Egypt the visible light was but the shadow of the invisible Light; and in the wisdom of the ancient country the measures of Truth were the years of the Most High.” - Marshall Adams, The Book of the Master

Source: Wisdom Square - http://www.wisdom-square.com/sirius-connection-to-human-history.html
Credit for Image at Top of Page: https://ourplnt.com/stars-place-sun/sirius-a-sun-comparison/