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We consider a recently proposed class of extended teleparallel theories of gravity, which entail a scalar field which is non-minimally coupled to the torsion of a flat, metric-compatible connection.
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Valerio Faraoni, Cosmology in scalar tensor gravity , Vol. 139 (2004)
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Ruben Aldrovandi and José Geraldo Pereira, Teleparallel Gravity , Vol. 173 (Springer, Dordrecht, 2013)
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Laur Järv, “Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities,” Universe 3
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Clifford M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, 2018)
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Mihkel Rünkla and Ott Vilson, “Family of scalar-nonmetricity theories of gravity,” Phys. Rev. D98
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