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A generic tired-light mechanism is examined in which a photon, like anyparticle moving in a medium, experiences friction, that is, a force resistingits motion. If the velocity of light is assumed to be constant, this hypothesisyields a Hubble-like law which is also a consequence of the Rh = ct cosmology.Herein, it is used for estimating matter density as a function of redshift,allowing to show that the density of sources of long gamma-ray bursts appearsto be nearly constant, up to z $\approx$ 4. Assuming that the later is a fairprobe of the former, this means that matter density has been roughly constantover the last ten billion years, implying that, at least over this period,matter has been in an overall state of equilibrium.

Has the density of sources of gamma-ray burts been constant over the last ten billion years ?