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Projective transformations in metric-affine and Weylian geometries
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We discuss generalizations of the notions of projective transformations acting on affine model of Riemann-Cartan and Riemann-Cartan-Weyl gravity which preserve the projective structure of the light-cones. We show how the invariance under some projective transformations can be used to recast a Riemann-Cartan-Weyl geometry either as a model in which the role of the Weyl gauge potential is played by the torsion vector, which we call torsion-gauging, or as a model with traditional Weyl (conformal) invariance.
Forward citations
Cited by 2 Pith papers
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Light propagation and intensity transport in metric-affine geometry
Electromagnetic sectors built from projectively invariant torsion and non-metricity can modify light cones, intensity transport, and polarization structure in geometric optics.
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Scale-invariant Schr\"{o}dinger geometry in symmetric teleparallel gravity
A quadratic nonmetricity action of Schrödinger type is locally scale-invariant exactly when its Palatini connection equations admit the length-preserving Schrödinger connection.
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