Abstract
We discuss in a critical way the physical foundations of geometric structure of relativistic theories of gravity by the so-called Ehlers-Pirani-Schild formalism. This approach provides a natural interpretation of the observables showing how relate them to General Relativity and to a large class of Extended Theories of Gravity. In particular we show that, in such a formalism, geodesic and causal structures of space-time can be safely disentangled allowing a correct analysis in view of observations and experiment. As specific case, we take into account the case of f (R) gravity.
PACS numbers: Keywords: g.
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De Laurentis, M., Fatibene, L., Francaviglia, M. (2014). Dark Energy from Curvature and Ordinary Matter Fitting Ehlers-Pirani-Schild: Foundational Hypothesis. In: Sidharth, B., Michelini, M., Santi, L. (eds) Frontiers of Fundamental Physics and Physics Education Research. Springer Proceedings in Physics, vol 145. Springer, Cham. https://doi.org/10.1007/978-3-319-00297-2_13
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DOI: https://doi.org/10.1007/978-3-319-00297-2_13
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