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

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.

To appear in EPJC

References in corpus (8)

• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
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Cited by in corpus (2)

• General teleparallel metrical geometries
• The non-minimally coupled symmetric teleparallel gravity with electromagnetic field