2012/02/25 by S. Capozziello, Salvatore Capozzıello, Mariafelicia De Laurentis +3 · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1142/s0219887812500727
published as International Journal of Geometric Methods in Modern Physics Vol. 9, No. 8 (2012) 1250072 (18 pages) · 11 pages, 2 figures
arxiv created 2012/02/25 · arxiv updated 2012/07/26 · openalex publication_date 2012/09/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.