Abstract
We investigate neutral and charged test particles’ motions around quantum-corrected Schwarzschild black holes immersed in an external magnetic field. Taking the innermost stable circular orbits of neutral timelike particles into account, we find that the black holes can mimic different ranges of the Kerr black hole’s spin |a/M| from 0.15 to 0.99. Our analysis of charged test particles’ motions suggests that the values of the angular momentum l and the energy E^{2} are slightly higher than Schwarzschild black holes. The allowed regions of the (l,E^{2}) demonstrate that the critical energy E^{2}_{c} divides the charged test particle’s bounded trajectory into three types. With the help of a Monte Carlo method, we study the charged particles’ probabilities of falling into the black holes and find that the probability density function against l depends on the signs of the particles’ charges. Finally, the epicyclic frequencies of the charged particles are considered with respect to the observed twin peak quasi-periodic oscillations frequencies. Our results might provide hints for distinguishing quantum-corrected Schwarzschild black holes from Schwarzschild ones by using the dynamics of charged test particles around the strong gravitational field.
Highlights
To address the problems of singularities and event horizons, we are still looking for a self-consistent and full theory of quantum gravity
We mainly focus on the dynamics of test particles around quantum-corrected Schwarzschild black holes
While three scalars diverge at the center of quantum-corrected Schwarzschild black holes, R, R2 and K 2 all go to zero when x > xH with different values of b, where the parameter b has a relationship with a redefinition of the gravitational constant G∗ and comes from the effective two-dimensional dilaton gravity
Summary
Motivated by exploring the nature of jets and winds coming from an active galactic nucleus [121,122,123], much attentions have been devoted to investigating the motion of a charged test particle and following its bound orbit around a black hole immersed in an external magnetic field in some modified gravity theories [124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140]. At the first step, we will consider the simple case: charged test particles around one quantum-corrected Schwarzschild black hole immersed in an external asymptotically uniform magnetic field, which can not change the curvature of the 4D spacetime.
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