Telling tails and quasi-resonances in the vicinity of Dymnikova regular black hole

TL;DR

This paper studies how massive scalar fields behave around Dymnikova regular black holes, revealing unique oscillation and decay patterns that could help probe quantum effects near black hole horizons.

Contribution

It introduces a detailed analysis of quasinormal modes, tails, and grey-body factors for massive fields in Dymnikova black holes, highlighting qualitative differences from massless cases.

Findings

Oscillation frequency increases with field mass.

Damping rate decreases, indicating quasi-resonances.

Late-time tails follow a power-law decay matching analytic predictions.

Abstract

We investigate quasinormal modes, late-time tails, and grey-body factors for massive scalar perturbations in the background of the Dymnikova regular black hole. By applying both the time-domain integration and the WKB method with Pad\'e improvements, we show that the spectrum of massive fields differs qualitatively from the massless case. The oscillation frequency of the dominant mode grows with the field mass $\mu$, while the damping rate decreases, suggesting the existence of quasi-resonances at sufficiently large $\mu$. In the time domain, the late-time signal exhibits oscillatory tails with a power-law envelope, whose decay rate matches analytic expectations. Grey-body factors are also computed, showing strong suppression of radiation when mass is increased. Taken together, these results indicate that massive fields provide distinctive signatures of regular black holes and may serve as probes of near-horizon quantum corrections in the Dymnikova geometry.