In special relativity only relative velocity is what matters. A rocket and the universe can be in relative linear motion. In the rocket the universe is in motion. The universe got this motion when it fell freely in the gravity field present for the observer in the rocket. For the observer, the objects of the universe have all obtained kinetic energy. If one of these objects hits an object at rest in the frame of the rocket, the object will receive kinetic energy and momentum. In the frame of the universe, the object will give an object in the universe energy and momentum.
Can the same be said for rotational motion? Is this motïon relative too? For an observer on a rotating object the universe rotates and for an observer in the universe the object rotates. The motion is an accelerated motion but at any instant there is a relative linear motion. An instantaneous linear relative motion.
So can we say the universe rotates around the Earth?