Effects of (1+2)-dimensional circularly symmetric and static traversable wormhole with cosmic string on oscillator field

• Published in: Annals of physics Vol. 457; p. 169438
• Main Author: Ahmed, Faizuddin
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.10.2023
• Subjects: Linear defects; Modified theories of gravity; Quantum fields in curved space–time; Relativistic wave equation; Solutions of wave equation: Bound states; Special functions; Quantum fields in curved space–time; Linear defects; Special functions; Relativistic wave equation; Modified theories of gravity; Solutions of wave equation: Bound states
• ISSN: 0003-4916; 1096-035X
• DOI: 10.1016/j.aop.2023.169438

In this study, we examine the relativistic quantum dynamics of an oscillator field described by the Klein–Gordon equation in a circularly symmetric and static (1+2)-dimensional traversable wormhole space–time with cosmic strings. We derive the radial equation for the Klein–Gordon oscillator in this wormhole background and solved it using special functions. For specific cases, we present the ground state energy level E1,ℓ± and wave function ψ1,ℓ of the oscillator field, subject to a constraint on the oscillator frequency ω1,ℓ. In fact, it is shown that the eigenvalue solution of the oscillator field is influenced by both the cosmic string parameter α and the wormhole throat radius a, leading to shifts in the energy levels and wave functions. •(1+2)-dimensional traversable wormhole space–time with cosmic string is considered.•Bosonic oscillator field is studied.•Energy eigenvalue and wave function is obtained.•Analyze the effects of cosmic string, and wormhole throat radius.•Graphically shown effects of various factors on eigenvalue.