Dynamics of test particles around renormalization group improved Schwarzschild black holes

In this paper we have investigated the dynamics of neutral, electrically charged and magnetized particles around renormalized group improved (RGI) Schwarzschild black hole in the presence of external asymptotically uniform magnetic field. We have analyzed the spacetime structure around RGI black hole by investigating Ricci, the square of Ricci tensor and Kretschmann curvature scalars and shown that only in the case when the parameter gamma = 0 the curvature becomes infinite at the center of the black hole, while for nonzero values of gamma parameter the black hole curvature reflects the properties of regular black hole. Analyzing the innermost stable circular orbits of test neutral particles around RGI black hole and comparing with the results for rotating Kerr black hole we have shown that RGI black hole parameters can mimic the rotation parameter of Kerr black hole up to a/M less than or similar to 0.31 providing the same innermost stable circular orbit (ISCO) radius. Since according to the astronomical observations of the accretion disks confirm that the astrophysical black holes are rapidly rotating with the spin parameter up to a/M similar to 0.99 one may conclude that the effects of parameters of RGI Schwarzschild black hole on the circular orbits of the neutral particles cannot mimic the Kerr black hole. Then the Hamilton-Jacobi equation has been used to analyze the charged and magnetized particles motion near the RGI black hole in the presence of the strong interaction between external asymptotically uniform magnetic (electromagnetic) field and magnetized (electrically charged) particle. We have shown that RGI black hole parameters quantitatively change the dynamics of the charged and magnetized particles, in particular ISCO radius of the particles decreases with increasing the parameter lambda, while the increase of the parameter gamma causes to increase of it. The stability analysis of the circular orbits of the magnetized particles has shown that the population of magnetars with the strong surface magnetic field up to 10(15) Gauss is excluded from the very close environment of a supermassive black hole due to destructive properties of the magnetic field.