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Lovelock gravity is a class of higher-derivative gravitational theories whoselinearized equations of motion have no more than two time derivatives. Here, itis shown that any Lovelock theory can be effectively described as Einsteingravity coupled to a p-form gauge field. This extends the known example of anf(R) theory of gravity, which can be described as Einstein gravity coupled to ascalar field.

Lovelock gravity is equivalent to Einstein gravity coupled to form fields