Dynamical fate of charged regular black holes after absorption

Determine whether the absorption of a charged particle by a regular black hole can result in a final static state within the family of solutions described by the mass function, and determine what radiation is emitted during the process.

Background

The fixed nonlinear-electrodynamics theory has a two-parameter static solution family, parametrized by the integration constants corresponding to the mass and electric charge, while regularity imposes a relation between those parameters and selects a one-parameter subfamily. If a regular black hole absorbs a charged particle, changes in its mass and charge that do not satisfy the tangent relation to this regular subfamily would produce a final solution with a singular center.

The paper does not analyze the dynamical process, including whether the final state remains within the static family or what radiation carries away the excess energy and charge. The unresolved issue is therefore the actual dynamical evolution following charged-particle absorption.

References

Whether the real process ends in this family and what is radiated during the process are the questions of dynamics which we do not consider here.

— Regular black holes do not violate the first law of thermodynamics  (2610.08099 - Toshmatov et al., 6 Oct 2026) in Section 2, paragraph following Eq. (\ref{regline})