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

Fuente: arXiv
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Autores principales: Baradaran, M., Nieto, L. M., Zarrinkamar, S.
Formato: Preprint
Publicado: 2025
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author Baradaran, M.
Nieto, L. M.
Zarrinkamar, S.
author_facet Baradaran, M.
Nieto, L. M.
Zarrinkamar, S.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_19332
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publishDate 2025
record_format arxiv
spellingShingle Generalized Coulomb-type interaction embedded in a non-inertial cosmic string spacetime in a slow-rotation limit
Baradaran, M.
Nieto, L. M.
Zarrinkamar, S.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
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.
title Generalized Coulomb-type interaction embedded in a non-inertial cosmic string spacetime in a slow-rotation limit
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2502.19332