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 (DGP), 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.
Highlights
Background curvatureto complete the argument, we consider the effect from background curvature, gμbgν= ημν, with gμbgν = eaμ(x)ebν (x)
Unlike for Dvali–Gabadadze–Porrati model (DGP), in massive gravity the extra dimension is purely used as a mathematical tool and the theory of ghost-free massive gravity which we review in more depth in Part II
As we shall see in that section, one of the interests of quasi-dilaton massive gravity is the existence of spatially flat FLRW solutions, and of self-accelerating solutions
Summary
The theory of general relativity (GR) has been known to describe the force of gravity with impeccable agreement with observations. In bi-gravity two metrics are interacting and the mass spectrum is that of a massless spin-2 field interacting with a massive spin-2 field It can, be seen as the theory of general relativity interacting (fully non-linearly) with a massive spin-2 field. Be seen as the theory of general relativity interacting (fully non-linearly) with a massive spin-2 field This is a remarkable new development in both field theory and gravity. Formulation of the theory was first performed in four dimensions In this case massive gravity is not derived per se from the higher-dimensional picture but rather one can see how the structure of general relativity in higher dimensions is tied to that of the mass term
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