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arXiv · 2502.19332

Generalized Coulomb-type interaction embedded in a non-inertial cosmic string spacetime in a slow-rotation limit

M. Baradaran·L. M. Nieto·S. Zarrinkamar
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Abstract

Motivated by the great interest in studying quantum and gravitational phenomena in a unified way, scalar bosons are considered in a cosmic string spacetime and in a non-inertial frame, with a generalized Coulomb-type interaction containing both inverse quadratic and inverse cubic corrections. Solutions for this generalized interaction are shown for an arbitrary state in the slow rotation limit in a quasi-exact manner and a discussion is given of the structure of the problem, whose special case appears in the form of a doubly confluent Heun differential equation. The previously known solution for the simplest case of this problem, corresponding to the ordinary Coulomb interaction, is recovered.

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M. Baradaran, L. M. Nieto, S. Zarrinkamar. 2025-02-26. Generalized Coulomb-type interaction embedded in a non-inertial cosmic string spacetime in a slow-rotation limit. https://arxiv.org/abs/2502.19332

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