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  1. Conformally Flat Spacetimes and Weyl Frames.C. Romero, J. B. Fonseca-Neto & M. Laura Pucheu - 2012 - Foundations of Physics 42 (2):224-240.
    We discuss the concepts of Weyl and Riemann frames in the context of metric theories of gravity and state the fact that they are completely equivalent as far as geodesic motion is concerned. We apply this result to conformally flat spacetimes and show that a new picture arises when a Riemannian spacetime is taken by means of geometrical gauge transformations into a Minkowskian flat spacetime. We find out that in the Weyl frame gravity is described by a scalar field. We (...)
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  • One hundred years of Weyl’s (unfinished) unified field theory.C. Romero, R. G. Lima & T. A. T. Sanomiya - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 66 (C):180-185.
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  • A Note on the Problem of Proper Time in Weyl Space–Time.R. Avalos, F. Dahia & C. Romero - 2018 - Foundations of Physics 48 (2):253-270.
    We discuss the question of whether or not a general Weyl structure is a suitable mathematical model of space–time. This is an issue that has been in debate since Weyl formulated his unified field theory for the first time. We do not present the discussion from the point of view of a particular unification theory, but instead from a more general standpoint, in which the viability of such a structure as a model of space–time is investigated. Our starting point is (...)
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