https://doi.org/10.1140/epjp/s13360-022-03630-6
Regular Article
PDM Klein–Gordon particles in Gödel-type Som–Raychaudhuri cosmic string spacetime background
Department of Physics, Eastern Mediterranean University, Mersin 10, G. Magusa, North Cyprus, Turkey
Received:
12
August
2022
Accepted:
23
December
2022
Published online:
13
January
2023
In Gödel-type Som–Raychaudhuri (SR) cosmic string spacetime background, we revisit Klein–Gordon (KG) oscillators and report their exact solutions for positive/negative vorticity parameter, 
. Consequently, a new type of degeneracy associated with a rotating Gödel universe is found feasible. We also introduce KG oscillators in a pseudo-Gödel SR-type spacetime that admit invariance and isospectrality with those in Gödel SR-type spacetime background. We introduce position-dependent mass (PDM) settings to KG particles in four-vector and scalar Lorentz potentials in magnetic field in the Gödel SR-type spacetime background. Four illustrative examples of fundamental nature are discussed, and their exact or conditionally exact solvability are reported. They are, a PDM KG-Coulombic particle in four-vector and scalar Coulombic Lorentz potentials in magnetic field, a PDM KG-Coulombic particle in four-vector and scalar Coulombic Lorentz potentials in magnetic field at zero vorticity, a PDM KG-Coulombic particle in equally mixed four-vector and scalar Coulombic Lorentz potentials in magnetic field, and a quasi-free PDM KG oscillator.
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