https://doi.org/10.1140/epjc/s10052-023-11771-w
Regular Article - Theoretical Physics
Weyl–Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions
1
Department of Physics, Faculty of Science, Pamukkale University, Denizli, Turkey
2
Department of Physics, Istanbul Technical University, Istanbul, Turkey
3
Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, Tartu, Estonia
4
Department of Physics, Faculty of Science, Erciyes University, Kayseri, Turkey
Received:
24
April
2023
Accepted:
26
June
2023
Published online:
12
July
2023
We consider a Weyl–Lorentz-U(1)-invariant gravity model written in terms of a scalar field, electromagnetic field and nonmetricity without torsion and curvature, the so-called symmetric teleparallel geometry, in three dimensions. Firstly, we obtain variational field equations from a Lagrangian. Then, we find some classes of circularly symmetric rotating solutions by making only a metric ansatz. The coincident gauge of symmetric teleparallel spacetime allows us for doing so.
© The Author(s) 2023
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