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Charged black string bounce and its field source

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Abstract

This work builds upon the previous article (Lima in Symmetry 15:150, 2023) and explores the solution of the charged black string introduced in Lemos (Phys Rev 54:3840-3853, 1996). The black bounce regularization method, based on the Simpson-Visser solution, is employed by transforming the radial variable using \(r\rightarrow \sqrt{r^2+a^2}\). The regular charged black string metric is defined, and the properties of event horizons, surface gravity, and Hawking temperature are investigated. The behavior of curvature quantities, including curvature invariants and tensors, is examined to verify the absence of singularities when \(a\ne 0\). The Einstein equation for the energy-momentum tensor is solved, and the null energy condition is analyzed for the obtained solution. The sources of this solution are evaluated, combining a scalar field with nonlinear electrodynamics. However, unlike other works, an electric field is considered instead of a magnetic field. Finally, the study calculates the possibility of stable or unstable circular orbits for massive and massless particles.

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Acknowledgements

The authors would like to thank Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico (FUNCAP) and Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) for finantial support.

Funding

This manuscript was supported financially by CNPq, FUNCAP, and CAPES.

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Authors and Affiliations

  1. Universidade Federal do Ceará, Fortaleza, Ceará, Brazil

    A. Lima, G. Alencar & R. N. Costa Filho

  2. Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, CP 6030, Fortaleza, CE, 60455-760, Brazil

    R. R. Landim

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  1. A. Lima
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  2. G. Alencar
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Contributions

Conceptualization, AL, GA, RNCF and RRL; methodology, AL, GA, RNCF and R RL; validation, AL, GA, RNCF and R RL; formal analysis, AL, GA, RNCF and RRL; investigation, AL, GA, RNC F and RRL; writing-original draft preparation, AL, GA, RNCF and RRL; writing-review and editing, AL, GA, RNCF and RRL; visualization, AL, GA, RNCF and RR L. All authors have read and agreed to the published version of the manuscript.

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Correspondence to A. Lima.

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Lima, A., Alencar, G., Costa Filho, R.N. et al. Charged black string bounce and its field source. Gen Relativ Gravit 55, 108 (2023). https://doi.org/10.1007/s10714-023-03156-x

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