Modifikasi Rumus Gravitasi Newton dalam Transformasi Ruang-Waktu Datar Menggunakan Solusi Schwarzschild

Abstract

This study aims to determine the equation of motion of the object that surrounds the center of mass. The method used is constructing geodesic equation in the Schwarzschild solution contained in Einstein's gravitational field equations, and then compared with the classical Newton's formula hence got the motion equations to explain the planet's perihelion precession as well. Afterward, by transforming geodesic equation in the Schwarzschild solution of curved space-time into spacetime flat. Then calculate the effects of relativity and classical Newtonian gravity formula is connected hence got the modification of Newtonian gravity formula can be obtained. These equations can explain the movement of objects with mass in a gravitational field.