The concept of gravity as the curvature of space-time is a fundamental principle of general relativity, which describes the behavior of gravity in the framework of Einstein's theory. According to general relativity, massive objects like planets and stars cause a curvature in the fabric of space-time, and this curvature influences the motion of other objects nearby.
The speed of light, denoted as "c," plays a critical role in the theory of relativity. It represents the maximum speed at which information or causal influences can travel through space-time. According to the theory, objects with mass cannot attain or exceed the speed of light. As an object with mass approaches the speed of light, its energy increases, and its mass appears to increase as well. The amount of energy required to accelerate an object with mass to the speed of light becomes infinite, making it impossible to reach or surpass that velocity.
Now, concerning your question about moving faster than the speed of light to avoid the gravitational pull of massive objects, it's important to note that the effects of gravity propagate at the speed of light. This means that the influence of a gravitational field, including its attractive force, spreads through space-time at the speed of light.
Even if you were able to move at a speed greater than the speed of light, the gravitational effects of massive objects would still reach you. The curvature of space-time due to these objects would exist ahead of you, and you would still experience their gravitational pull. This is because the curvature of space-time caused by massive objects extends throughout space, and it takes time for this curvature to change as objects move relative to each other.
In essence, the theory of relativity does not allow for objects with mass to achieve or exceed the speed of light, and even if it were possible, the gravitational effects would still propagate at the speed of light, reaching and affecting the moving object.
It's worth noting that the behavior of gravity at extremely high velocities or under extreme conditions, such as near the event horizon of a black hole, is an active area of research and may involve phenomena not yet fully understood. However, the fundamental principle of the theory of relativity still holds that objects with mass cannot travel faster than light.