According to Newtonian mechanics, planets move around stars due to the centripetal force provided by the host star's gravitational pull. But in light of what Einstein said (i.e. relativity), the case is quite different. A massive object like a star distorts and curve space, and so it's the curved space around the star that is responsible for moving the planets around their parent star.

I understand all this perfectly. However, after thinking about it a bit more deeply, I'm left at a disadvantage. I mean, is it correct to say that curved space is what moves planets around stars, or around the Sun in the particular case of our Solar System? Or is it still the centripetal force that is caused by the Sun?

I hope this is clear enough for you, guys. Thank you.

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