https://doi.org/10.1140/epjc/s10052-025-13744-7
Regular Article - Theoretical Physics
Analytical solutions for Maxwell-scalar system on radially symmetric spacetimes
1
Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, PB, Brazil
2
Departamento de Biotecnologia, Universidade Federal da Paraíba, 58051-900, João Pessoa, PB, Brazil
3
Departamento de Ciências Exatas, Universidade Federal da Paraíba, 58297-000, Rio Tinto, PB, Brazil
4
Departamento de Física, Universidade Federal de Campina Grande, 58109-970, Campina Grande, PB, Brazil
5
Departament de Física Teòrica and IFIC, Centro Mixto, Universitat de València-CSIC, Universitat de València, 46100, Burjassot, Spain
6
Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, 60455-760, Fortaleza, CE, Brazil
Received:
19
September
2024
Accepted:
30
December
2024
Published online:
18
January
2025
We investigate Maxwell-scalar models on radially symmetric spacetimes in which the gauge and scalar fields are coupled via the electric permittivity. We find the conditions that allow for the presence of minimum energy configurations. In this formalism, the charge density must be written exclusively in terms of the components of the metric tensor and the scalar field is governed by first-order equations. We also find a manner to map the aforementioned equation into the corresponding one associated to kinks in (1, 1) spacetime dimensions, so we get analytical solutions for three specific spacetimes. We then calculate the energy density and show that the energy is finite. The stability of the solutions against contractions and dilations, following Derrick’s argument, and around small fluctuations in the fields is also investigated. In this direction, we show that the solutions obeying the first-order framework are stable.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.