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Symmetric teleparallel gravity is constructed with a nonzero nonmetricity tensor while both torsion and curvature are vanishing.
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F. W. Hehl and A. Macias, “Metric-Affine gauge theory of gravity. 2. Exact solutions,” Int. J. Mod. Phys. D
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J. Beltrán Jiménez, L. Heisenberg, and T. S. Koivisto, “Teleparallel Palatini theories,” JCAP
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