# Cosmological viability of massive gravity with generalized matter coupling

@article{Solomon2014CosmologicalVO, title={Cosmological viability of massive gravity with generalized matter coupling}, author={Adam R. Solomon and Jonas Enander and Yashar Akrami and Tomi S. Koivisto and Frank Konnig and Edvard Mortsell}, journal={Journal of Cosmology and Astroparticle Physics}, year={2014}, volume={2015}, pages={027 - 027} }

There is a no-go theorem forbidding flat and closed FLRW solutions in massive gravity on a flat reference metric, while open solutions are unstable. Recently it was shown that this no-go theorem can be overcome if at least some matter couples to a hybrid metric composed of both the dynamical and the fixed reference metric. We show that this is not compatible with the standard description of cosmological sources in terms of effective perfect fluids, and the predictions of the theory become…

## 44 Citations

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## References

SHOWING 1-10 OF 59 REFERENCES

### On the cosmology of massive gravity

- Physics
- 2013

We present a review of cosmological solutions in nonlinear massive gravity, focusing on the stability of perturbations. Although homogeneous and isotropic solutions have been found, these are now…

### Cosmology in general massive gravity theories

- Physics
- 2014

We study the cosmological FRW flat solutions generated in general massive gravity theories. Such a model are obtained adding to the Einstein General Relativity action a peculiar non derivative…

### Open FRW universes and self-acceleration from nonlinear massive gravity

- Physics
- 2011

In the context of a recently proposed nonlinear massive gravity with Lorentz-invariant mass terms, we investigate open Friedmann-Robertson-Walker (FRW) universes driven by arbitrary matter source.…

### Cosmological perturbations in massive gravity and the Higuchi bound

- Physics
- 2012

In de Sitter spacetime there exists an absolute minimum for the mass of a spin-2 field set by the Higuchi bound m2 ? 2H2. We generalize this bound to arbitrary spatially flat FRW geometries in the…

### Exact self-accelerating cosmologies in the ghost-free massive gravity: The detailed derivation

- Physics
- 2012

We present the detailed derivation of the recently announced most general cosmological solution with homogeneous and isotropic metric in the ghost-free massive gravity theory. We use the standard…

### On couplings to matter in massive (bi-)gravity

- Physics
- 2014

We investigate the coupling to matter in ghost-free massive (bi-)gravity. When species in the matter sector couple covariantly to only one metric, we show that at one-loop these couplings do not…

### Multi-Metric Gravity via Massive Gravity

- Physics
- 2012

A generalization to the theory of massive gravity is presented which includes three dynamical metrics. It is shown that at the linear level, the theory predicts a massless spin-2 field which is…

### Stable and unstable cosmological models in bimetric massive gravity

- Physics
- 2014

Nonlinear, ghost-free massive gravity has two tensor fields; when both are dynamical, the mass of the graviton can lead to cosmic acceleration that agrees with background data, even in the absence of…

### Massive Cosmologies

- Physics
- 2011

We explore the cosmological solutions of a recently proposed extension of General Relativity with a Lorentz-invariant mass term. We show that the same constraint that removes the Boulware-Deser ghost…

### Weak massive gravity

- Physics
- 2013

We find a new class of theories of massive gravity with five propagating degrees of freedom where only rotations are preserved. Our results are based on a non-perturbative and background-independent…