Motion of Particles around Time Conformal Dilaton Black Holes

Abstract

In this paper, the geodesic motion of neutral and test particles around the time conformal (TC) Dilaton black hole (BH) is investigated using the $e^{ϵg\left(t\right)}$ as the time conformal factor in which g(t) is an arbitrary function of time and $ϵ$ is a perturbation parameter. The function $g\left(t\right)$ leads to $\left(\frac{t}{a}\right)$ by utilizing the well-known approximate Noether symmetry (ANS). Furthermore, we discuss the effect of magnetic fields and find the location of stable and unstable orbits w. r. t time, graphically. After that, in the presence and absence of a magnetic field, we interrogate the crucial physical parameters such as effective potential $\left(U_{eff}\right)$, effective force $\left(F_{eff}\right)$ and escape velocity $\left({\nu }_{\perp }\right)$. We find the unstable and stable regions of particles for different values of angular momentum $\left(L_z\right)$ and magnetic field $\left(B\right)$ near the TC Dilaton BH. Moreover, the effects of the Dilaton parameter ($\mu$) on neutral and charged particles are also discussed, which provide some new features. The important results in this study could estimate the powerful relativistic jets originating from the BH.