Recently the 4-dimensional Gauss-Bonnet (GB) theory has been extended by introducing a new parameter of the form αD-4 where α is a nonzero real parameter. The idea also has been extended to higher-order pure Lovelock theory by rescaling the parameter in a similar manner. In a particular third-order Lovelock spacetime we investigate particle confinement, the absence of flat rotation curves, and the possible collision of null sources that gives rise locally to such a static spacetime.

At certain time the Nariai spacetime is split into two parts. The resulting cosmology consists of the original Nariai and a new component with topology $(flat)_2\times S^2$, that is equivalent to a cloud of strings. We explore the properties of our hybrid cosmological model.