Infall of a particle into a black hole as a model for gravitational radiation from the galactic center

Abstract

I present here the results of the study of the gravitational radiation generated by the infall (from rest at radius $r_0$) of a point particle of mass $m_0$ into a Schwarzschild black hole of mass $M$. We use Laplace's transform methods and find that the spectra of radiation for $\sim5M<r_0<\infty$ presents a series of evenly spaced bumps. The total radiated energy is not monotonically decreasing with $r_0$, but presents a joroba (hunch-back) at around $r_0\approx4.5M$. I finally discuss the detectability of the gravitational radiation coming from the black hole in the center of our galaxy.