Dark energy constraints on masses and sizes of large scale cosmic structures

The requirement that their gravitational binding self-energy density must at least equal the background repulsive dark energy density for large scale cosmic structures implies a mass-radius relation of \({M} / {R^{2}} \approx 1~\mbox{g}/{\mbox{cm}^{2}}\), as pointed out earlier. This relation seems to hold true for primeval galaxies as well as those at present epoch. This could set constraints on the nature and evolution of dark energy. Besides, we also set constraints on the size of galaxy clusters and superclusters due to the repulsive cosmological dark energy. This could indicate as to why large scale cosmic structures much larger than ～200 Mpc are not seen.