# Ghost-free massive gravity with a general reference metric

@article{Hassan2012GhostfreeMG, title={Ghost-free massive gravity with a general reference metric}, author={Sayed Fawad Hassan and Rachel A. Rosen and Angnis Schmidt-May}, journal={Journal of High Energy Physics}, year={2012}, volume={2012}, pages={1-26} }

A bstractTheories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a flat reference metric, were proposed and shown to be ghost free at the complete non-linear level. In this paper we consider these non-linear massive gravity actions but now formulated with a general reference metric. We extend the proof of the absence…

## 358 Citations

### Bimetric gravity from ghost-free massive gravity

- Physics
- 2012

A bstractGenerically, non-linear bimetric theories of gravity suffer from the same Boulware-Deser ghost instability as non-linear theories of massive gravity. However, recently proposed theories of…

### On consistent theories of massive spin-2 fields coupled to gravity

- Physics, Geology
- 2013

A bstractWe consider the issues that arise out of interpreting the ghost-free bimetric theory as a theory of a spin-2 field coupled to gravity. This requires identifying a gravitational metric and…

### Massive graviton on arbitrary background: derivation, syzygies, applications

- Physics, Mathematics
- 2015

We give the detailed derivation of the fully covariant form of the quadratic action and the derived linear equations of motion for a massive graviton in an arbitrary background metric (which were…

### Chiral description of ghost-free massive gravity

- Geology
- 2013

We propose and study a new ﬁrst order version of the ghost-free massive gravity. Instead of metrics or tetrads, it uses a connection together with Plebanski’s chiral 2-forms as fundamental variables,…

### On the local structure of spacetime in ghost-free bimetric theory and massive gravity

- Mathematics
- 2017

A bstractThe ghost-free bimetric theory describes interactions of gravity with another spin-2 field in terms of two Lorentzian metrics. However, if the two metrics do not admit compatible notions of…

### Covariant approach to the no-ghost theorem in massive gravity

- Mathematics
- 2014

We discuss the no-ghost theorem in the massive gravity in a covariant manner. Using the BRST formalism and St\"{u}ckelberg fields, we first clarify how the Boulware-Deser ghost decouples in the…

### Ju l 2 01 3 A non-local theory of massive gravity

- Physics
- 2013

We construct a fully covariant theory of massive gravity which does not require the introduction of an external reference metric, and overcomes the usual problems of massive gravity theories (fatal…

### Chiral description of massive gravity

- Geology
- 2012

A bstractWe propose and study a new first order version of the ghost-free massive gravity. Instead of metrics or tetrads, it uses a connection together with Plebanski’s chiral 2-forms as fundamental…

### Cosmological viability of massive gravity with generalized matter coupling

- Physics
- 2014

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…

### Linear spin-2 fields in most general backgrounds

- Mathematics
- 2016

We derive the full perturbative equations of motion for the most general background solutions in ghost-free bimetric theory in its metric formulation. Clever field redefinitions at the level of…

## References

SHOWING 1-10 OF 64 REFERENCES

### Bimetric gravity from ghost-free massive gravity

- Physics
- 2012

A bstractGenerically, non-linear bimetric theories of gravity suffer from the same Boulware-Deser ghost instability as non-linear theories of massive gravity. However, recently proposed theories of…

### Confirmation of the secondary constraint and absence of ghost in massive gravity and bimetric gravity

- Physics, Geology
- 2012

A bstractIn massive gravity and in bimetric theories of gravity, two constraints are needed to eliminate the two phase-space degrees of freedom of the Boulware-Deser ghost. For recently proposed…

### Strong interactions and exact solutions in nonlinear massive gravity

- Physics
- 2011

We investigate strong coupling effects in a covariant massive gravity model, which is a candidate for a ghost-free non-linear completion of Fierz-Pauli. We analyse the conditions to recover general…

### On non-linear actions for massive gravity

- Mathematics
- 2011

In this work we present a systematic construction of the potentially ghost-free non-linear massive gravity actions. The most general action can be regarded as a 2-parameter deformation of a minimal…

### Resolving the ghost problem in nonlinear massive gravity.

- PhysicsPhysical review letters
- 2012

It is shown that, in the entire two-parameter family of actions, the Hamiltonian constraint is maintained at the complete nonlinear level and this implies the absence of the pathological Boulware-Deser ghost to all orders.

### Ghosts in massive gravity

- Physics
- 2005

In the context of Lorentz-invariant massive gravity we show that classical solutions around heavy sources are plagued by ghost instabilities. The ghost shows up in the effective field theory at huge…

### Theoretical Aspects of Massive Gravity

- Geology
- 2012

Massive gravity has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the…