  We consider a general brane-world model parametrized by the brane tension
scale $f$ and the branon mass $M$. For low tension compared to the fundamental
gravitational scale, we calculate the relic branon abundance and its
contribution to the cosmological dark matter. We compare this result with the
current observational limits on the total and hot dark matter energy densities
and derive the corresponding bounds on $f$ and $M$. Using the nucleosynthesis
bounds on the number of relativistic species, we also set a limit on the number
of light branons in terms of the brane tension. Finally, we estimate the bounds
coming from the energy loss rate in supernovae explosions due to massive branon
emission.
