POLYTROPIC EQUILIBRIUM MODELS WITH NON-ZERO COSMOLOGICAL CONSTANT
Marco Merafina, Г. С. Бисноватый-Коган, S. O. Tarasov · 2015
We solve the equation of the equilibrium for systems with a polytropic equation of state, in the frame of the Newtonian gravity, with non-zero cosmological constant Λ. We also investigate the stability of equilibrium solutions and show that dark energy reduces the dynamic stability of the configuration. We apply the results for analyzing the properties of equilibrium states for cluster of galaxies in the present universe with non-zero Λ.