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Incorporating extra matter fields into charged Dunkl black hole models

Develop charged black hole solutions in Dunkl-deformed spacetime that incorporate additional matter fields beyond the electromagnetic sector, and characterize how such fields modify the spacetime metric and associated physical properties relative to the current charged Dunkl black hole construction.

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Background

Beyond the Einstein–Maxwell framework used to derive the charged Dunkl black hole metric, the authors propose exploring models that include additional matter fields. Such extensions could alter the deformation structure and internal parameters of the solutions, potentially impacting optical observables and constraints from EHT data.

They explicitly identify this as an open direction for future work, indicating that implementing and analyzing extra matter contributions in the Dunkl framework is an unresolved task to be addressed in subsequent studies.

References

Moreover, it is particularly interesting to implement alternative contributions to charged Dunkl black holes by including extra matter fields. We expect to be able to report on these open questions elsewhere.

Constraining Black Hole Shadows in Dunkl Spacetime using CUDA Numerical Computations (2510.16460 - Baddis et al., 18 Oct 2025) in Conclusions (Section 6)