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- Title
On the Klein–Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu–Yang magnetic monopole.
- Authors
Mustafa, Omar; Soares, A. R.; Pereira, C. F. S.; Vitória, R. L. L.
- Abstract
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 κ , GM-parameter α , WYMM strength σ , KG-oscillators' frequency Ω , 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 ≥ 0 and include energy levels clustering at κ > > 1 (i.e., extreme EiBI-gravity), and at | σ | > > 1 (i.e., extreme WYMM strength).
- Subjects
MAGNETIC monopoles; SPACETIME; QUANTUM numbers; GRAVITY; POWER series
- Publication
European Physical Journal C -- Particles & Fields, 2024, Vol 84, Issue 4, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-024-12781-y