  In this work, we present the new technique for discussing the dynamical
motion of neutral as well as charged particles in the absence/presence of
magnetic field around the time conformal Schwarzschild black hole. Initially,
we find the numerical solutions of geodesics of Schwarzschild black hole and
the time conformal Schwarzschild black hole. We observe that the Schwarzschild
spacetime admits the time conformal factor $e^{\epsilon f(t)}$, where $f(t)$ is
an arbitrary function and $\epsilon$ is very small which causes the
perturbation in the spacetimes. This technique also re-scale the energy content
of spacetime. We also investigate the thermal stability, horizons and energy
conditions corresponding time conformal Schwarzschild spacetime. Also, we
examine the dynamics of neutral and charged particle around time conformal
Schwarzschild black hole. We investigate the circumstances under which the
particle can escape from vicinity of black hole after collision with another
particle. We analyze the effective potential and effective force of particle in
the presence of magnetic field with angular momentum graphically.

General Physics