  In this paper we show that pure Lovelock static Schwarzschild's analogue
black hole in dimensions $d>3N+1$, where $N$ is the degree of Lovelock
polynomial action, is stable even though pure Gauss-Bonnet $N=2$ black hole is
unstable in dimension $d<7$. We also discuss and compare quasinormal modes for
pure Lovelock and the corresponding Einstein black hole in the same dimension.
We find that perturbations decay with characteristic time which is weakly
dimensional dependent as it depends only on the gravitational potential of the
background solution, while frequency of oscillations however depend on the
dimension. Also we show that spectrum of perturbations is not isospectral
except in $d=4$.

General Relativity and Quantum Cosmology