https://doi.org/10.1140/epjc/s10052-024-13490-2
Regular Article
A class of Taub-NUT-scalar metrics via Ehlers transformations
1
Department of Physics, Isfahan University of Technology, 84156-83111, Isfahan, Iran
2
Department of Physics and Astronomy, University of Calgary, T2N 1N4, Calgary, AB, Canada
Received:
4
August
2024
Accepted:
11
October
2024
Published online:
27
November
2024
We derive a class of Taub-NUT metrics in the presence of a scalar field (TNS) by using Ernst equations and potential, as well as using Ehlers transformations on the exact solutions that was recently introduced in Azizallahi et al. (Nucl Phys B 998:116414, https://doi.org/10.1016/j.nuclphysb.2023.116414, arXiv:2307.09328 [gr-qc], 2023) and Mirza et al. (Eur Phys J C 83:1161, https://doi.org/10.1140/epjc/s10052-023-12255-7, arXiv:2307.13588 [gr-qc], 2023). Furthermore, we investigate the effective potential, geodesics, topological charge, quasinormal modes (QNMs) and the deflection angle of light in a gravitational lensing for the obtained class of TNS metrics. We also use conformal transformations to generate a new class of exact solutions of the Einstein-conformal-scalar theory by using the obtained TNS solutions as seed metrics. Finally we compare QNMs of the class of exact solutions.
© The Author(s) 2024
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