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May 27, 2026International Journal of Modern Physics D0 citations

Interior marginally outer trapped surfaces in Hayward black holes

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ASAbbas M. SherifYLYen-Kheng Lim

Key Points

  • The research aims to identify the conditions under which marginally outer trapped surfaces form in Hayward black holes based on a specific parameter.
  • Analyzed the regular Hayward metric to locate MOTS and MOTOS surfaces.
  • Investigated self-intersecting MOTS and the behavior near critical parameter values.
  • Reduced the problem to a Sturm-Liouville problem to express locations of MOTS with hypergeometric functions.
  • Identified critical value b = b_c determining presence or absence of horizons.
  • Showed no self-intersecting MOTS exists close to the critical parameter value.
  • Found locations of MOTS given by hypergeometric functions in non-discrete eigenspace.

Abstract

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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Cite This Study

Sherif et al. (2026) studied this question.

synapsesocial.com/papers/6a1689eb0c924ddd1bd58a3bhttps://doi.org/10.1142/s021827182650032x
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