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arXiv · 2509.08845

Scalar quasinormal modes of magnetically charged black holes in a quintessence field

Ali Hasnain
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Abstract

We investigate the quasinormal mode (QNM) spectrum for scalar perturbations of static, magnetically charged black holes in the presence of a quintessence field. The background geometry is obtained from the Einstein-Power-Maxwell action with a Kiselev-type contribution for quintessence. The associated master wave equation is solved using complementary numerical approaches, including high-order WKB expansions, the asymptotic iteration method, and time-domain integration, with cross-validation to ensure accuracy. The results show that magnetic charge generally lowers the oscillation frequency of fundamental modes, while the quintessence parameter modifies damping timescales. A dedicated analysis of the metric's derivation confirms the correct form of the magnetic charge term. We explore a theoretical parameter space to understand the mathematical behavior of the solution, including extreme regimes not intended to represent astrophysical realities. The computed scalar field spectra provide a foundational study for future work on gravitational perturbations. All numerical data and codes are provided to ensure reproducibility.

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Ali Hasnain. 2025-09-07. Scalar quasinormal modes of magnetically charged black holes in a quintessence field. https://arxiv.org/abs/2509.08845

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