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arXiv · 2304.05209

Weyl-Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions

Muzaffer Adak·Nese Ozdemir·Caglar Pala
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Abstract

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.

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Muzaffer Adak, Nese Ozdemir, Caglar Pala. 2023-04-11. Weyl-Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions. https://doi.org/10.1140/epjc%2Fs10052-023-11771-w

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