## 251 Citations

### Covariant constraints in ghost free massive gravity

- Physics
- 2013

We show that the reformulation of the de Rham-Gabadadze-Tolley massive gravity theory using vielbeins leads to a very simple and covariant way to count constraints, and hence degrees of freedom. Our…

### Covariant constraints in ghost free massive gravity

- Physics
- 2013

We show that the reformulation of the de Rham-Gabadadze-Tolley massive gravity theory using vielbeins leads to a very simple and covariant way to count constraints, and hence degrees of freedom. Our…

### The Λ2 limit of massive gravity

- Physics, Mathematics
- 2016

A bstractLorentz-invariant massive gravity is usually associated with a strong coupling scale Λ3. By including non-trivial effects from the Stückelberg modes, we show that about these vacua, one can…

### On partially massless theory in 3 dimensions

- Physics
- 2014

We analyze the first-order formulation of the ghost-free bigravity model in three-dimensions known as zwei-dreibein gravity. For a special choice of parameters, it was argued to have an additional…

### Complete decoupling limit of ghost-free massive gravity

- Geology, Physics
- 2013

A bstractWe present the complete form of the decoupling limit of ghost-free massive gravity with a Minkowski reference metric, including the full interactions of the helicity-1 and helicity-0 modes…

### Comments about Hamiltonian formulation of non-linear massive gravity with Stückelberg fields

- Geology, Physics
- 2012

A bstractWe perform the Hamiltonian analysis of some form of the non-linear massive gravity action that is formulated in the Stückelberg formalism. Following seminal analysis performed in…

### Proof of ghost freedom in de Rham-Gabadadze-Tolley massive gravity

- Mathematics
- 2012

We identify different helicity degrees of freedom of Fierz-Paulian massive gravity around generic backgrounds. We show that the two-parameter family proposed by de Rham, Gabadadze, and Tolley always…

### 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,…

## References

SHOWING 1-10 OF 28 REFERENCES

### 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…

### 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…

### Resummation of massive gravity.

- PhysicsPhysical review letters
- 2011

Four-dimensional covariant nonlinear theories of massive gravity are constructed which are ghost-free in the decoupling limit to all orders, and the Hamiltonian constraint is maintained at least up to and including quartic order in nonlinearities, hence excluding the possibility of the Boulware-Deser ghost up to this order.

### 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…

### Exact Schwarzschild-de Sitter black holes in a family of massive gravity models

- Physics
- 2011

The Schwarzschild--de Sitter and Reissner-Nordstr\"om--de Sitter black hole metrics appear as exact solutions in the recently formulated massive gravity of de Rham, Gabadadze and Tolley, where the…

### Generalization of the Fierz-Pauli action

- Physics
- 2010

We consider the Lagrangian of gravity covariantly amended by the mass and polynomial interaction terms with arbitrary coefficients and reinvestigate the consistency of such a theory in the decoupling…