Dark Energy Constraints on Masses and Sizes of Large Scale Cosmic Structures

TL;DR

This paper explores how dark energy influences the size and mass of large cosmic structures, proposing a universal mass-radius relation and explaining the observed size limits of galaxy clusters and superclusters.

Contribution

It introduces a mass-radius relation based on dark energy density and applies it to constrain the sizes of large-scale cosmic structures.

Findings

Mass-radius relation M/R^2 ~ 1 g/cm^2 holds for various cosmic structures.

Dark energy sets upper size limits for galaxy clusters and superclusters.

Large structures exceeding ~200 Mpc are unlikely due to dark energy effects.

Abstract

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 ~ 1g/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 ~200Mpc are not seen.