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.
Strictly speaking, for 0 < ˜α < √ 66/ 11 the only allowed value is ℓ = 0 and for √ 66/ 11 ≤ ˜α < 1 the allowed values are ℓ = 0, 1
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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.