Locates marginally outer trapped surfaces in Hayward black holes, suggesting critical roles of parameters in horizon formation.
We locate interior marginally outer trapped and marginally outer trapped open surfaces (MOTS/MOTOS) in the regular Haward metric with parameter b for which a critical (extremal) value b = b _c demarcates when the spacetime admits no horizon and when it admits inner and outer horizons. We identify self-intersecting MOTS which occur in pairs. For b close to the critical value, there are no self-intersecting MOTS/MOTOS, and one can fine-tune b so that the interior contains only near-spherical MOTS. We also show that in a neighborhood of the inner horizon for certain values of b, upon reduction of the problem to a singular Sturm-Liouville problem, the locations of the MOTS are given by hypergeometric functions, the eigenspace of the operator for which is complete, not discrete, and discontinuous.
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Sherif et al. (2026) studied this question.
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