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

TL;DR

This paper investigates Klein-Gordon oscillators in complex spacetime backgrounds involving global monopoles and Wu-Yang magnetic monopoles within Eddington-inspired Born-Infeld gravity, deriving exact and conditionally exact energy levels and analyzing parameter effects.

Contribution

It introduces a power series method for exact energy levels and reports conditionally exact solutions for KG-oscillators in these spacetimes under EiBI-gravity, including effects of various parameters.

Findings

Exact energy levels for KG-oscillators without EiBI-gravity.

Conditionally exact energy levels within EiBI-gravity.

Parameter effects on energy levels, including extreme gravity and monopole strength.

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 \textit{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 study and discuss 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 $n_r\geq 0$ and include energy levels clustering at $\kappa>>1$ (i.e., extreme EiBI-gravity), and at $|\sigma|>>1$ (i.e., extreme WYMM strength).