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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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{
  "DOI": "10.1140/epjc/s10052-024-12781-y", 
  "abstract": "<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>", 
  "author": [
    {
      "family": "Mustafa", 
      "given": " Omar"
    }, 
    {
      "family": "Soares", 
      "given": " A."
    }, 
    {
      "family": "Pereira", 
      "given": " C."
    }, 
    {
      "family": "Vit\u00f3ria", 
      "given": " R."
    }
  ], 
  "container_title": "European Physical Journal C", 
  "id": "275125", 
  "issue": "4", 
  "issued": {
    "date-parts": [
      [
        2024, 
        4, 
        20
      ]
    ]
  }, 
  "title": "On the Klein\u2013Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu\u2013Yang magnetic monopole", 
  "type": "article-journal", 
  "volume": "84"
}
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