I have searche many genral relativity texts and have not found an answer to the following question: How does curvature translate into the Newtonian idea of gravitation? For example, how is Newton's law of gravitation, where all matter attracts all matter, an approximation to the idea of curvature? I vaguely know that the idea is related to the equation of geodesic deviation, but could somebody explain this more clearly?
Thanks!
Thanks!