First order Extended Gravity and the Dark side of the Universe: matching with observations

Mathematics – Functional Analysis

Scientific paper

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Dark Matter, Gravity, Universe, Functional Analysis, Dark Energy, Phenomenology Of Quantum Gravity, Origin And Formation Of The Universe, Functional Analysis

Scientific paper

The so called f(R)-gravity could be, in principle, able to explain the accelerated expansion of the Universe without adding unknown forms of dark energy/dark matter but, more simply, extending the General Relativity by generic functions of the Ricci scalar. However, a part several phenomenological models, there is no final f(R)-theory capable of fitting all the observations and addressing all the issues related to the presence of dark energy and dark matter. Astrophysical observations are pointing out huge amounts of ``dark matter'' and ``dark energy'' needed to explain the observed large scale structures and cosmic accelerating expansion. Up to now, no experimental evidence has been found, at fundamental level, to explain such mysterious components. The problem could be completely reversed considering dark matter and dark energy as ``shortcomings'' of General Relativity and considering the concept of Dark Metric introduced in the companion paper of these Proceedings by the same authors.

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