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On the Klein–Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu–Yang magnetic monopole

Mustafa, Omar; Soares, A.; Pereira, C.; Vitória, R.


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        "affiliation": "Department of Physics, Eastern Mediterranean University, G. Magusa, North Cyprus, Mersin 10, Turkey", 
        "name": "Mustafa, Omar"
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        "affiliation": "Instituto Federal de Educa\u00e7\u00e3o Ci\u00eancia e Tecnologia do Maranh\u00e3o, R. Dep. Gast\u00e3o Vieira, 1000, Buriticupu, MA, CEP 65393-000, Brazil", 
        "name": "Soares, A."
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        "affiliation": "Departamento de F\u00edsica e Qu\u00edmica, Universidade Federal do Esp\u00edrito Santo, Av.Fernando Ferrari, 514, Goiabeiras, Vit\u00f3ria, ES, 29060-900, Brazil", 
        "name": "Pereira, C."
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        "affiliation": "Faculdade de F\u00edsica, Universidade Federal do Par\u00e1, Av. Augusto Corr\u00eaa, Guam\u00e1, Bel\u00e9m, PA, 66075-110, Brazil", 
        "name": "Vit\u00f3ria, R."
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    "description": "<p>We consider Klein\u2013Gordon (KG) particles in a global monopole (GM) spacetime within Eddington-inspired Born\u2013Infeld gravity (EiBI-gravity) and in a Wu\u2013Yang 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     $\\kappa $  , GM-parameter     $\\alpha $  , WYMM strength     $\\sigma $  , KG-oscillators' frequency     $\\Omega $  , 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     ${n}_{r}\\ge 0$   and include energy levels clustering at     $\\kappa &gt;&gt;1$   (i.e., extreme EiBI-gravity), and at     $|\\sigma |&gt;&gt;1$   (i.e., extreme WYMM strength).</p>", 
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      "issue": "4", 
      "title": "European Physical Journal C", 
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    "publication_date": "2024-04-20", 
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    "title": "On the Klein\u2013Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu\u2013Yang magnetic monopole"
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