Regular Article - Theoretical Physics
Weyl–Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions
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
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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