Waveforms produced by a scalar point particle plunging into a Schwarzschild black hole: Excitation of quasinormal modes and quasibound states

TL;DR

This paper investigates the waveforms generated by a scalar particle plunging into a Schwarzschild black hole, highlighting the excitation of quasinormal modes and quasibound states, with implications for testing massive gravity theories.

Contribution

It introduces a toy model replacing the graviton with a massive scalar field to analyze waveform spectral content during plunge events.

Findings

Signal amplitude decreases with increasing scalar mass.

Quasinormal modes and quasibound states are excited during plunge.

Waveform features differ from massless field scenarios.

Abstract

With the possibility of testing massive gravity in the context of black hole physics in mind, we consider the radiation produced by a particle plunging from slightly below the innermost stable circular orbit into a Schwarzschild black hole. In order to circumvent the difficulties associated with black hole perturbation theory in massive gravity, we use a toy model in which we replace the graviton field with a massive scalar field and consider a linear coupling between the particle and this field. We compute the waveform generated by the plunging particle and study its spectral content. This permits us to highlight and interpret some important effects occurring in the plunge regime which are not present for massless fields such as (i) the decreasing and vanishing, as the mass parameter increases, of the signal amplitude generated when the particle moves on quasicircular orbits near the innermost stable circular orbit and (ii) in addition to the excitation of the quasinormal modes, the excitation of the quasibound states of the black hole.