koolmodee said:
Thanks for the answers!
But I'm not quite satisfied yet. Was their contribution non-negligible only in the early universe? Is it present universe negligible?
Let [itex]a ( t )[/itex] be the time-dependent scale factor of the universe. In an expanding universe, [itex]a ( t )[/itex] increases as [itex]t[/itex] increases. Assume that dark energy is vacuum energy, so that, in terms of energy/mass density, the three main components of the universe are radiation, matter, and vacuum energy.
As the universe expands, the densities of radiation and matter decrease. The density of matter is inversely proportional to [itex]a ( t )^3[/itex], one factor of [itex]a ( t )[/itex] for each dimension of space.
As the universe expands, the number density of photons is inversely proportional to the same factor, [itex]a ( t )^3[/itex]. The energy density of radiation includes an additional factor of [itex]a ( t )[/itex] because the wavelengths of radiation scale as [itex]a ( t )[/itex] (wavelengths expand along with the universe), and energy of radiation is inversely proportional to wavelength, so that the density of radiation is inversely proportional to [itex]a ( t )^4[/itex].
Since the expansion of space is, roughly, the addition of more of the same vacuum, the vacuum energy density is constant in time.
Comparing the time-evolution properties of the three components shows that there is a time [itex]t_1[/itex] before which radiation dominated, and a time [itex]t_2 > t_1[/itex] after which the vacuum dominates. Relative values of the densities for our universe are such that between [itex]t_1[/itex] and [itex]t_2[/itex] matter dominates.