  Recently, Lu and Pope proposed critical gravities in [Phys. Rev. Lett. 106,
181302 (2011)]. In this paper we construct analytic brane solutions in critical
gravity with matter. The Gibbons-Hawking surface term and junction condition
are investigated, and the thin and thick brane solutions are obtained. All
these branes are embedded in five-dimensional anti-de Sitter spacetimes. Our
solutions are stable against scalar perturbations, and the zero modes of scalar
perturbations cannot be localized on the branes.
