https://doi.org/10.1140/epjc/s10052-025-14422-4
Regular Article - Theoretical Physics
Time evolution of perturbations in quasi-Schwarzschild black holes
1
Programa de Pós-Graduação em Física, Universidade Federal do Pará, 66075-110, Belém, PA, Brazil
2
Faculdade de Física, Campus Salinópolis, Universidade Federal do Pará, 68721-000, Salinópolis, Pará, Brazil
Received:
25
March
2025
Accepted:
10
June
2025
Published online:
22
June
2025
Parametric deviations of quasinormal modes (QNMs) is a common feature of beyond General Relativity (GR) theories. For theories with additional degrees of freedom, such as scalars and vectors, new family of modes might appear, usually called scalar-led and vector-led modes. Although a power series expansion in terms of the new parameters entering the potential is usually suitable to describe the frequency of the modes, the time-evolution of signals might present a richer structure, with different behavior in the tail, the presence of new modes (such as massive modes), or even instabilities. All these features are not explicitly exposed by a pure frequency domain analysis and might give hints of new physics. In this paper, we investigate the time evolution of signals considering potentials that slightly deviate from the ones coming from GR, looking into scalar, vector and metric perturbations. We focus on deviations that can be parametrized by a sum of 
terms in the effective potential, analyzing the effect of each term on the time domain profile
© The Author(s) 2025
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