Eur. Phys. J. Plus (2024) 139: 950
https://doi.org/10.1140/epjp/s13360-024-05745-4

Regular Article

Klein–Gordon particles in cosmic string spacetime: the noninertial effects of a two-way rotating frame and the associated degeneracies

¹ Department of Physics, Eastern Mediterranean University, G. Magusa, 99628, Mersin 10, North Cyprus, Turkey
² Department of Basic Sciences, Erzurum Technical University, 25050, Erzurum, Turkey

^a omar.mustafa@emu.edu.tr

Received: 12 August 2024
Accepted: 12 October 2024
Published online: 29 October 2024

Abstract

We investigate and discuss Klein–Gordon (KG) particles in cosmic string spacetime under the noninertial effects of a two-way rotating frame. In doing so, we report on the related gravitational effects on the energy levels of KG oscillators, KG-Coulombic particles, and KG-Coulombic particles under the influence of a Lorentz scalar shifted-linear potential $S(r)=ar+b$. In addition to being new models, in a two-way rotating frame, they are observed to admit two-way rotation-associated degeneracies, such that $E_{n_r,m_{-}}^{{\mathrm{\Omega }}_{+}}=E_{n_r,m_{+}}^{{\mathrm{\Omega }}_{-}}$ and $E_{n_r,m_{+}}^{{\mathrm{\Omega }}_{+}}=E_{n_r,m_{-}}^{{\mathrm{\Omega }}_{-}}$, where $\mathrm{\Omega }={\mathrm{\Omega }}_{\pm }=\pm |\mathrm{\Omega }|$ identifies positive and negative angular velocities, $m=m_{\pm }=\pm |m|=0,\pm 1,\pm 2,\dots$ identifies the magnetic quantum number, and $n_r=0,1,2,\dots$ identifies the radial quantum number. The effect of a two-way rotating frame in cosmic string spacetime is observed only in the energies of the KG particles in the form of $-m\mathrm{\Omega }$, which clearly suggests the associated degeneracies mentioned above. To the best of our knowledge, such results and observations have not been reported elsewhere.