No, not true.

Ever heard of Momentum?

As soon as you know there is an alternative that explains the same thing, then you should investigate, Alexandre.

So far, I do not have much luck showing to other people that Einstein did not incorporate the collective motion of the Milky Way in his Spacetime. These other people's brains are closed. They do not even investigate but reject anything immediately that is not accepted by others first.

I know you are smart, but I am not holding my breath that you will follow this pathway either. I'll just need to remain patient or accept that others will simply not (not in my life time) investigate this alternate pathway to explain Mercury's behavior.

https://medium.com/@fred-rick/einstein-forgot-just-one-thing-e38208e0e159