Dark Energy and the mass of galaxy clusters

Abstract

Up to now, Dark Energy evidences are based on the dynamics of the universe on very large scales, above 1 Gpc. Assuming it continues to behave like a cosmological constant $Λ$ on much smaller scales, I discuss its effects on the motion of non-relativistic test-particles in a weak gravitational field and I propose a way to detect evidences of $Λ\neq 0$ at the scale of about 1 Mpc: the main ingredient is the measurement of galaxy cluster masses.

5 pages, no figures, references added