https://doi.org/10.1140/epjc/s10052-024-12781-y
Regular Article -Theoretical Physics
On the Klein–Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu–Yang magnetic monopole
1
Department of Physics, Eastern Mediterranean University, 99628, G. Magusa, North Cyprus, Mersin 10, Turkey
2
Instituto Federal de Educação Ciência e Tecnologia do Maranhão, R. Dep. Gastão Vieira, 1000, CEP 65393-000, Buriticupu, MA, Brazil
3
Departamento de Física e Química, Universidade Federal do Espírito Santo, Av.Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, Brazil
4
Faculdade de Física, Universidade Federal do Pará, Av. Augusto Corrêa, Guamá, 66075-110, Belém, PA, Brazil
Received:
17
January
2024
Accepted:
10
April
2024
Published online:
20
April
2024
We consider Klein–Gordon (KG) particles in a global monopole (GM) spacetime within Eddington-inspired Born–Infeld gravity (EiBI-gravity) and in a Wu–Yang magnetic monopole (WYMM). We discuss a set of KG-oscillators in such spacetime settings. We propose a textbook power series expansion for the KG radial wave function that allows us to retrieve the exact energy levels for KG-oscillators in a GM spacetime and a WYMM without EiBI-gravity. We, moreover, report some conditionally exact, closed form, energy levels (through some parametric correlations) for KG-oscillators in a GM spacetime and a WYMM within EiBI-gravity, and for massless KG-oscillators in a GM spacetime and a WYMM within EiBI-gravity under the influence of a Coulomb plus linear Lorentz scalar potential. We report the effects of the Eddington parameter 
, GM-parameter 
, WYMM strength 
, KG-oscillators’ frequency 
, and the coupling parameters of the Coulomb plus linear Lorentz scalar potential, on the spectroscopic structure of the KG-oscillators at hand. Such effects are studied over a vast range of the radial quantum number 
and include energy levels clustering at 
(i.e., extreme EiBI-gravity), and at 
(i.e., extreme WYMM strength).
© The Author(s) 2024
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