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Gravitational Field Effects Produced by Topologically Non-Trivial Geometry and Rotating Frames Subject to a Coulomb-Type Scalar Potential

  • NUCLEI, PARTICLES, FIELDS, GRAVITATION, AND ASTROPHYSICS
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>Abstract

In this paper, the effects of the gravitational field produced by a topologically non-trivial geometry in a rotating frame of reference under the influence of quantum flux with a Coulomb-type scalar potential is investigated. We solve the Klein–Gordon equation and determine the eigenvalue solution analytically. Afterwards, we analyze a spin-zero relativistic quantum oscillator model described by the KG-oscillator and determines the eigenvalue solutions. We show that the eigenvalue solutions in both case gets modified by the non-trivial topology, non-inertial reference frame, and the scalar potential. Furthermore, the energy levels shifts due to the presence of the magnetic flux which gives us an analogue of the Aharonov–Bohm effect for the bound-state.

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  1. Department of Physics, University of Science and Technology Meghalaya, 793101, Ri-Bhoi, Meghalaya, India

    F. Ahmed

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Ahmed, F. Gravitational Field Effects Produced by Topologically Non-Trivial Geometry and Rotating Frames Subject to a Coulomb-Type Scalar Potential. J. Exp. Theor. Phys. 135, 655–662 (2022). https://doi.org/10.1134/S1063776122110140

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