Let's say I have a ball 299792458m away and i want to apply a force to it. Evidently any information (for eg if i instantaneously increase my mass to increase the gravitational force) will travel at the speed of light and thus, the increase in gravitational force will only be felt by the ball 1 second later. What if i connect a rigid rod between the ball and I and push it? What, then, is the speed at which information is transferred? It makes sense that, for example, once i push against an end of the rod, the relative distance between any two points has to stay the same, so the ball at the end should accelerate simultaneously with my hand. However, this defies the principle that nothing can travel faster than the speed of light. Thanks!