Lie Point Symmetries, Hamiltonian Equations and Conservation Laws of the Geodesics on a Schwarzschild Black Hole


S. Reza Hejazi




Classification of Schwarzschild geodesics via group analysis of Lie point symmetries is considered. Lie's symmetry method of differential equations (DEs) is applied to the system of Schwarzschild geodesics to classify geodesic curves. In this method Lie algebra of symmetries will be studied and some useful results in physics such as Hamiltonian equations and conservation laws are obtained.