Derivation of general relativistic gravitational potential energy using principle of equivalence and gravitational time dilation

Einstein’s theory of general relativity which has been experimentally proved to be true gravity doesn’t need gravitational potential energy predict trajectory particles in space. This is because a purely geometric theory. Objects move along the geodesics curved space-time. The energy-momentum tensor that warps space-time as per field equations takes into account only energy/momentum matter and radiation. Thus, come picture its role taken over by curvature However, relativistically correct expression for required conservation some energy-based approaches physics. Conventionally, form derived using full mathematical formality relativity. In this paper, we describe an event derive same relativistic simply principle equivalence time dilation.