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Massive gravity: a General Analysis
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abstract
Massive gravity can be described by adding to the Einstein-Hilbert action a function V of metric components. By using the Hamiltonian canonical analysis, we find the most general form of V such that five degrees of freedom propagate non perturbatively. The construction is based on a set of differential equations for $V$, that remarkably can be solved in terms of two arbitrary functions. Besides recovering the known "Lorentz invariant" massive gravity theory, we find an entirely new class of solutions, with healthy features on the phenomenological side, in particular they are weakly coupled in the solar system and have a high ultraviolet cutoff Lambda_2=(m M_pl)^(1/2), where m is the graviton mass scale.
Forward citations
Cited by 3 Pith papers
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Stable Cosmology from Minimal Theory of Mass-Varying Massive Gravity
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Massive graviton dark matter searches with long-baseline atom interferometers
Long-baseline atom interferometers could detect ultra-light spin-2 dark matter through three coupling channels, reaching mass and coupling ranges that LIGO and LISA cannot cover.
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Massive Gravity @ 15
A status review arguing that ghost-free massive gravity remains a theoretically consistent and phenomenologically viable infrared modification of General Relativity, with open UV questions.
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