Conditionally exact analytic solutions for oscillators in EiBI gravity with monopoles are obtained via degree-one confluent Heun polynomial truncation, yielding closed-form frequencies, energies, and angular momentum bounds controlled by geometric parameters.
Mustafa, ”KG-oscillators in Eddington-inspired Born-I nfeld gravity: W u-Yang magnetic monopole and Ricci scalar curvat ure effects” Nucl
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Schr\"odinger and Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity: Degree-one Confluent Heun polynomial correspondence
Conditionally exact analytic solutions for oscillators in EiBI gravity with monopoles are obtained via degree-one confluent Heun polynomial truncation, yielding closed-form frequencies, energies, and angular momentum bounds controlled by geometric parameters.