THE PHYSICAL FOUNDATIONS FOR THE GEOMETRIC STRUCTURE OF RELATIVISTIC THEORIES OF GRAVITATION: FROM GENERAL RELATIVITY TO EXTENDED THEORIES OF GRAVITY THROUGH EHLERS–PIRANI–SCHILD APPROACH
2012 ◽
Vol 09
(08)
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pp. 1250072
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Keyword(s):
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.
2018 ◽
Vol 33
(04)
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pp. 1850030
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2015 ◽
Vol 12
(04)
◽
pp. 1550040
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2009 ◽
Vol 18
(14)
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pp. 2275-2282
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2020 ◽
Vol 135
(1)
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2020 ◽
Vol 35
(02n03)
◽
pp. 2040060