Approximate Noether symmetries of the geodesic equations for the charged-Kerr spacetime and rescaling of energy

摘要: Using approximate symmetry methods for differential equations we have investigated the exact and symmetries of a Lagrangian geodesic in Kerr spacetime. Taking Minkowski spacetime as case, it is shown that algebra 17 dimensional. This related to 15 dimensional Lie conformal isometries First introducing spin angular momentum per unit mass small parameter consider first-order metric first perturbation Schwarzschild metric. We then second-order second The are recovered these spacetimes there no non- trivial symmetries. A rescaling arc length consistency indicates energy charged-Kerr has be rescaled factor r-dependent. re-scaling compared with Reissner–Nordstrom