Abstract
We review recent progress in massive gravity. We start by showing how
different theories of massive gravity emerge from a higher-dimensional theory
of general relativity, leading to the Dvali-Gabadadze-Porrati model, cascading
gravity and ghost-free massive gravity. We then explore their theoretical and
phenomenological consistency, proving the absence of Boulware-Deser ghosts and
reviewing the Vainshtein mechanism and the cosmological solutions in these
models. Finally we present alternative and related models of massive gravity
such as new massive gravity, Lorentz-violating massive gravity and non-local
massive gravity.
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