# Cutoff for extensions of massive gravity and bi-gravity

@article{Matas2015CutoffFE, title={Cutoff for extensions of massive gravity and bi-gravity}, author={Andrew Matas}, journal={Classical and Quantum Gravity}, year={2015}, volume={33} }

Recently there has been interest in extending ghost-free massive gravity, bi-gravity, and multi-gravity by including non-standard kinetic terms and matter couplings. We first review recent proposals for this class of extensions, emphasizing how modifications of the kinetic and potential structure of the graviton and modifications of the coupling to matter are related. We then generalize existing no-go arguments in the metric language to the vielbein language in second-order form. We give an ADM…

## 20 Citations

### New kinetic terms for massive gravity and multi-gravity: a no-go in vielbein form

- Physics
- 2015

We reconsider the possibility of a class of new kinetic terms in the first order (vielbein) formulation of massive gravity and multi-gravity. We find that new degrees of freedom emerge which are not…

### Cosmology in massive gravity with effective composite metric

- Physics
- 2016

This paper is dedicated to scrutinizing the cosmology in massive gravity. A matter field of the dark sector is coupled to an effective composite metric while a standard matter field couples to the…

### Matter coupling in partially constrained vielbein formulation of massive gravity

- Physics
- 2015

We consider a linear effective vielbein matter coupling without introducing the Boulware-Deser ghost in ghost-free massive gravity. This is achieved in the partially constrained vielbein formulation.…

### Recent developments in bimetric theory

- Physics
- 2015

This review is dedicated to recent progress in the field of classical, interacting, massive spin-2 theories, with a focus on ghost-free bimetric theory. We will outline its history and its…

### Ostrogradsky in theories with multiple fields

- Geology
- 2016

We review how the (absence of) Ostrogradsky instability manifests itself in theories with multiple fields. It has recently been appreciated that when multiple fields are present, the existence of…

### Higher dimensional nonlinear massive gravity

- Physics
- 2016

Inspired by a recent ghost-free nonlinear massive gravity in four-dimensional spacetime, we study its higher dimensional scenarios. As a result, we are able to show the constant-like behavior of…

### Extracting bigravity from string theory

- PhysicsJournal of High Energy Physics
- 2021

Abstract
The origin of the graviton from string theory is well understood: it corresponds to a massless state in closed string spectra, whose low-energy effective action, as extracted from string…

### Preprint for Reviews of Modern Physics

- Physics
- 2017

Recently, aLIGO has announced the first direct detections of gravitational waves, a direct manifestation of the propagating degrees of freedom of gravity. The detected signals GW150914 and GW151226…

### A systematic approach to generalisations of General Relativity and their cosmological implications

- PhysicsPhysics Reports
- 2019

### New massive bigravity cosmologies with double matter coupling

- Physics
- 2015

We study a previously largely unexplored branch of homogeneous and isotropic background solutions in ghost-free massive bigravity with consistent double matter coupling. For a certain family of…

## References

SHOWING 1-10 OF 149 REFERENCES

### 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…

### Vielbein to the rescue? Breaking the symmetric vielbein condition in massive gravity and multigravity

- Physics
- 2015

Non-minimal matter couplings have recently been considered in the context of massive gravity and multi-gravity. These couplings are free of the Boulware-Deser ghost in the decoupling limit and can…

### Cosmological investigations of (extended) nonlinear massive gravity schemes with nonminimal coupling

- Physics
- 2014

In this paper we investigate the case of non-minimal coupling in the (extended) nonlinear massive gravity theories. We first consider massive gravity in the Brans-Dicke background such that the…

### Ghosts and matter couplings in massive gravity, bigravity and multigravity

- Physics
- 2014

Recently, several works have investigated the coupling to matter in ghost-free massive bigravity and multigravity and a new effective coupling to matter has been proposed. In this paper we clarify…

### 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…

### New kinetic interactions for massive gravity?

- Physics
- 2014

We show that there can be no new Lorentz invariant kinetic interactions free from the Boulware–Deser ghost in four dimensions in the metric formulation of gravity, beyond the standard…

### Interactions of charged spin-2 fields

- Physics
- 2014

In light of recent progress in ghost-free theories of massive gravity and multi-gravity, we reconsider the problem of constructing a ghost-free theory of an interacting spin-2 field charged under a…

### Ghosts, strong coupling and accidental symmetries in massive gravity

- Physics
- 2005

We show that the strong self-interaction of the scalar polarization of a massive graviton can be understood in terms of the propagation of an extra ghostlike degree of freedom, thus relating strong…

### 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…