Abstract
The time conformal regular black hole (RBH) solutions which are admitting the time conformal factor [Formula: see text], where [Formula: see text] is an arbitrary function of time and [Formula: see text] is the perturbation parameter are being considered. The approximate Noether symmetries technique is being used for finding the function [Formula: see text] which leads to [Formula: see text]. The dynamics of particles around RBHs are also being discussed through symmetry generators which provide approximate energy as well as angular momentum of the particles. In addition, we analyze the motion of neutral and charged particles around two well known RBHs such as charged RBH using Fermi–Dirac distribution and Kehagias–Sftesos asymptotically flat RBH. We obtain the innermost stable circular orbit and corresponding approximate energy and angular momentum. The behavior of effective potential, effective force and escape velocity of the particles in the presence/absence of magnetic field for different values of angular momentum near horizons are also being analyzed. The stable and unstable regions of particle near horizons due to the effect of angular momentum and magnetic field are also explained.
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