Abstract:
In this thesis we studied the radiation of particles infalling into compact objects
where General Relativity Field Equations (GRFEs) were used. In particular the
Schwarzschild and Kerr black holes were considered. The radiation is considered to
occur at the horizons due to the strong gravity of the compacts. The calculated total
energy radiated and the time of fall into the black holes depend both on the black
hole and the falling particles dynamical parameters specification. For mathematical
analysis the latest Mathematica 11.3 was used. The results are in good agreement
with the works of the others. Specially, the falling of particles into Schwarzschild
black hole fits with that of the results of Zerilli (1970).