Implementaci\'on computacional para el estudio de part\'iculas con esp\'in en agujeros negros rotantes modificados cu\'anticamente

Abstract

The trajectories of test particles with spin orbiting a black hole depend on the geometry of space-time and the intrinsic physical characteristics of the test particles. In this work the motion of test particles with spin on the innermost stable circular orbit of a quantum improved rotating black hole is studied. A computational implementation is presented through the Mathematica program, which can calculate and graph the radius, angular momentum and energy as a function of the spin of the test particles and for various geometric parameters of the rotating black hole, as they are the spin $a$ and the mass $M$ of the rotating black hole and the quantum parameters $\gamma$ and $\omega$. Additionally, the program calculates the maximum spin physically possible for the test particles. At the end, some results given by the program are discussed and it is shown that these are consistent with those previously reported, both for the classical black holes of Schwarzschild and Kerr and for the quantum improved ones.