  We find a class of charged black hole solutions in third order Lovelock
Gravity. To obtain this class of solutions, we are not confined to the usual
assumption of maximal symmetry on the horizon and will consider the solution
whose boundary is Einstein space with supplementary conditions on its Weyl
tensor. The Weyl tensor of such exotic horizons exposes two charge-like
parameter to the solution. These parameters in addition with the electric
charge, cause different features in compare with the charged solution with
constant-curvature horizon. For this class of asymptotically (A)dS solutions,
the electric charge dominates the behavior of the metric as r goes to zero, and
thus the central singularity is always timelike. We also compute the
thermodynamic quantities for these solutions and will show that the first law
of thermodynamics is satisfied. We also show that the extreme black holes with
nonconstant-curvature horizons whose Ricci scalar are zero or a positive
constant could exist depending on the value of the electric charge and
charged-like parameters. Finally, we investigate the stability of the black
holes by analyzing the behavior of free energy and heat capacity specially in
the limits of small and large horizon radius. We will show that in contrast
with charged solution with constant-curvature horizon, a phase transition
occurs between very small and small black holes from a stable phase to an
unstable one, while the large black holes show stability to both perturbative
and non-perturbative fluctuations.
