# Dynamics of particles around time conformal Schwarzschild black hole

The European Physical Journal C, Oct 2016

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 a magnetic field around the time conformal Schwarzschild black hole. Initially, we find the numerical solutions of geodesics of the 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 a perturbation in the spacetimes. This technique also re-scales the energy content of spacetime. We also investigate the thermal stability, horizons and energy conditions corresponding to time conformal Schwarzschild spacetime. Also, we examine the dynamics of a neutral and charged particle around a time conformal Schwarzschild black hole. We investigate the circumstances under which the particle can escape from the vicinity of a black hole after collision with another particle. We analyze the effective potential and effective force of a particle in the presence of a magnetic field with angular momentum graphically.

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Abdul Jawad, Farhad Ali, M. Umair Shahzad, G. Abbas. Dynamics of particles around time conformal Schwarzschild black hole, The European Physical Journal C, 2016, 586, DOI: 10.1140/epjc/s10052-016-4422-0