Physics, along with astronomy, is a branch of the physical sciences, studying matter, its basic elements, motion, energy, and force. Space and time are abstract entities created by the human mind, while pure mathematics is more abstract. Physics helps understand the natural world, while mathematics provides tools and language to describe and solve physical or abstract problems.
In classical mechanics events are attributed to gravitational force (Newtonian force) such as orbital motion, trajectory of spacecraft, etc. Gravitational force is one of the four fundamental forces of nature. However, Einstein's curvature of spacetime has no gravitational force acting on inertial motion.
Orbital mechanics and astrodynamics apply ballistics and astrodynamics to practical problems related to the motion of rockets and other spacecraft. The motion of an object is calculated from Newton's law of motion and the law of universal gravitation. But not from the inertial motion of Einstein's curvature of spacetime.
Since spacecraft speeds do not approach a significant fraction of the speed of light, Newtonian physics works well for operating and navigating throughout the solar system.
Therefore, gravity is a Newtonian force that works much better for all practical purposes than Einstein's curvature of space-time.