The predictions of General relativity (GR) are in good agreement with
observations in the solar system. Nevertheless, unexpected anomalies appeared
during the last decades, along with the increasing precision of measurements.
Those anomalies are present in spacecraft tracking data (Pioneer and flyby
anomalies) as well as ephemerides. In addition, the whole theory is challenged
at galactic and cosmic scales with the dark matter and dark energy issues.
Finally, the unification in the framework of quantum field theories remains an
open question, whose solution will certainly lead to modifications of the
theory, even at large distances. As long as those "dark sides" of the universe
have no universally accepted interpretation nor are they observed through other
means than the gravitational anomalies they have been designed to cure, these
anomalies may as well be interpreted as deviations from GR. In this context,
there is a strong motivation for improved and more systematic tests of GR
inside the solar system, with the aim to bridge the gap between gravity
experiments in the solar system and observations at much larger scales. We
review a family of metric extensions of GR which preserve the equivalence
principle but modify the coupling between energy and curvature and provide a
phenomenological framework which generalizes the PPN framework and "fifth
force" extensions of GR. We briefly discuss some possible observational
consequences in connection with highly accurate ephemerides.Comment: Proceedings of Journ\'ees 2010 "Syst\`emes de r\'ef\'erence
spatio-temporels", New challenges for reference systems and numerical
standards in astronom