Particles dynamics around time conformal quintessential Schwarzschild black hole

摘要

In this paper, the effect of time is explored on the dynamics of neutral and charged particles around the Schwarzschild (Sch) black hole (BH) environed by quintessence. We introduce a general time conformal factor e(epsilon g(t)) to the quintessential Sch spacetime, where g(t) is a time (t)-dependent function and epsilon, a small parameter, that causes perturbation in the corresponding spacetime. The Noether symmetry equation is obtainexl with the help of Lagrangian corresponding to time conformal Sch spacetime environed by quintessence. Consequently, we get a 19 partial differential equations (PDEs) system. The solution of this system gives Noether symmetries, Noether approximate symmetries. and the corresponding conservation laws. The dynamics of neutral/charged particles are studied as well as graphically analyzed at the foot of these invariants.