# Effects of rotation in the spacetime with a distortion of a vertical   line into a vertical spiral

**Authors:** K. Bakke

arXiv: 1907.09913 · 2019-11-05

## TL;DR

This paper explores how rotation affects scalar fields in a spacetime with a topological defect, deriving energy spectra and analyzing an analogue of the Aharonov-Bohm effect in this context.

## Contribution

It introduces a novel analysis of scalar fields in a rotating spacetime with a spiral defect, deriving energy spectra and examining topological quantum effects.

## Key findings

- Derived a relativistic energy spectrum under specific boundary conditions.
- Analyzed the relativistic analogue of the Aharonov-Bohm effect for bound states.
- Identified the impact of rotation and topology on scalar field behavior.

## Abstract

It is investigated the effects of rotation on the scalar field in the spacetime with the distortion of a vertical line into a vertical spiral. By analysing the upper limit of the radial coordinate that stems from the effects of rotation and the topology of the defect, it is considered this upper limit of the radial coordinate as a boundary condition analogous to a hard-wall confining potential. Then, it is obtained a relativistic spectrum of energy in a particular case. In addition, it is analysed a relativistic analogue of the Aharonov-Bohm effect for bound states.

## Full text

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## References

73 references — full list in the complete paper: https://tomesphere.com/paper/1907.09913/full.md

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Source: https://tomesphere.com/paper/1907.09913