Yes, it is correct to say that objects with mass-energy cause the gravitational field to bend. According to Einstein's theory of general relativity, mass and energy curve the fabric of spacetime, creating what we perceive as the force of gravity.
In general relativity, gravity is not understood as a traditional force like in Newtonian physics but rather as the curvature of spacetime caused by mass and energy. Objects with mass and energy create a curvature in the fabric of spacetime, and other objects moving through that curved spacetime follow paths dictated by this curvature. This curvature is what we observe and interpret as the gravitational force.
So, the curvature of spacetime is not just a mathematical construct; it is a physical effect that is observed and confirmed through various experiments and observations. For example, the bending of light around massive objects like stars during a solar eclipse is a direct confirmation of the curvature of spacetime.
The mathematics of general relativity provide the framework to describe this curvature mathematically and make predictions about how objects will move in a gravitational field. However, the physical effects of this curvature are real and have been observed and measured, confirming the validity of the theory.