  The goal of the present paper is to investigate representations and
cohomologies of Rota-Baxter 3-Lie algebras with any weight. We introduce
representations, matched pairs and Manin triples of Rota-Baxter 3-Lie algebras.
Furthermore, we discuss cohomology theory of Rota-Baxter 3-Lie algebras. The
deformations and central extensions of Rota-Baxter 3-Lie algebras are also
studied.
