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Infrared-modified gravities and massive gravitonsa Institute for Nuclear Research, Russian Academy of Sciences, prosp. 60-letiya Oktyabrya 7a, Moscow, 117312, Russian Federation b Service de Physique Théorique, Université Libre de Bruxelles, CP225, bld. du Triomphe, Bruxelles, B-1050, Belgium We review some theoretical and phenomenological aspects of massive gravities in 4 dimensions. We start from the Fierz-Pauli theory with Lorentz-invariant mass terms and then proceed to Lorentz-violating masses. Unlike the former theory, some models with Lorentz violation have no pathologies in the spectrum in flat and nearly flat backgrounds and lead to an interesting phenomenology.
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