Extended Gravity Constraints at Different Scales

Abstract

We review a set of the possible ways to constrain extended gravity models at Galaxy clusters scales (the regime of dark energy explanations and comparison with $\Lambda CDM$), for black hole shadows, gravitational wave astronomy, binary pulsars, Solar system and Large Hadron Collider (consequences for high energy physics at TeV scale). The key idea is that modern experimental and observational precise data gives a chance to go beyond the general relativity.