# Sufficient conditions for unbounded superradiance in black hole spacetimes sourced by nonlinear electrodynamics

**Authors:** Marco A. A. de Paula, Luiz C. S. Leite, Luís C. B. Crispino  
**arXiv:** [2501.17941](https://arxiv.org/abs/2501.17941)  
**Date:** 2025-01-29  
**Summary page:** https://www.summarizepaper.com/en/arxiv-id/2501.17941v1/

## Key points

- Authors investigate behavior of massive charged test scalar fields near electrically charged black hole solutions within nonlinear electrodynamics (NED)
- Sufficient conditions for existence of unbounded superradiant regime established
- Results applicable to wide range of electrically charged black hole solutions obtained through NED minimally coupled to general relativity
- Methodology for deriving black hole geometries detailed in Section II, dynamics of charged massive scalar fields discussed in Section III, main findings presented in Section IV
- Utilization of natural units and metric signature (-, +, +, +) throughout analysis
- Action describing General Relativity (GR) minimally coupled to NED outlined, field equations governing interactions discussed
- Considerations on nonuniform variational methods and algebraic complexities addressed, emphasizing practical advantages of specific frameworks for studying electrically charged systems sourced by nonlinear electrodynamics

## Summary

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The authors investigate the behavior of massive charged test scalar fields near electrically charged black hole solutions within the framework of nonlinear electrodynamics (NED). They establish sufficient conditions for the existence of an unbounded superradiant regime and explore the general requirements for inducing unbounded superradiance. The results apply to a wide range of electrically charged black hole solutions, both regular and singular, obtained through NED minimally coupled to general relativity. The methodology used to derive the black hole geometries is detailed in Section II, followed by a discussion on the dynamics of charged massive scalar fields in Section III. The main findings are presented in Section IV. Natural units and a metric signature of (-, +, +, +) are utilized throughout the analysis. The action describing General Relativity (GR) minimally coupled to NED within the F framework is outlined, along with field equations governing these interactions. Considerations regarding nonuniform variational methods and algebraic complexities are addressed, highlighting practical advantages associated with employing specific frameworks for studying electrically charged systems sourced by nonlinear electrodynamics. This comprehensive exploration sheds light on intricate phenomena occurring near electrically charged black holes and contributes valuable insights to our understanding of gravitational interactions governed by nonlinear electrodynamics.