  We present exact spherically symmetric null dust solutions in the third order
Lovelock gravity with a string cloud background in arbitrary $N$ dimensions,.
This represents radiating black holes and generalizes the well known Vaidya
solution to Lovelock gravity with a string cloud in the background. We also
discuss the energy conditions and horizon structures, and explicitly bring out
the effect of the string clouds on the horizon structure of black hole
solutions for the higher dimensional general relativity and
Einstein-Gauss-Bonnet theories. It turns out that the presence of the coupling
constant of the Gauss-Bonnet terms and/or background string clouds completely
changes the structure of the horizon and this may lead to a naked singularity.
We recover known spherically symmetric radiating models as well as static black
holes in the appropriate limits.
