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Mass-Varying Massive Gravity
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It has recently been shown that the graviton can consistently gain a constant mass without introducing the Boulware-Deser ghost. We propose a gravity model where the graviton mass is set by a scalar field and prove that this model is free of the Boulware-Deser ghost by analyzing its constraint system and showing that two constraints arise. We also initiate the study of the model's cosmic background evolution and tentatively discuss possible cosmological implications of this model. In particular, we consider a simple scenario where the scalar field setting the graviton mass is identified with the inflaton and the graviton mass evolves from a high to a low energy scale, giving rise to the current cosmic acceleration.
Forward citations
Cited by 3 Pith papers
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A new look at multi-gravity and dimensional deconstruction
Keeping the lapse free in deconstruction yields scalar-tensor multi-gravity, which reproduces 5D Randall-Sundrum brane cosmology equations in the continuum limit.
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Stable Cosmology from Minimal Theory of Mass-Varying Massive Gravity
MTMVMG is claimed to admit stable FLRW perturbations, with the mass-varying scalar as dark energy or inflaton, but stability inequalities are unverified and the phenomenology is fitted.
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Perturbations of black holes in mass-varying massive gravity
In mass-varying massive gravity, the beta=alpha^2 branch of constant-scalar Schwarzschild-(A)dS solutions has delta X=0, so tensor perturbations obey the GR equations while scalar stability depends on potential parameters.
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