Stable and unstable cosmological models in bimetric massive gravity

  title={Stable and unstable cosmological models in bimetric massive gravity},
  author={Frank Konnig and Yashar Akrami and Luca Amendola and Mariele Motta and Adam R. Solomon Itp Univ. of Heidelberg and Inst. Theor. Astrophys. and Oslo and University of Geneva and Dept. Theor. Phys. and University of Cambridge and Damtp},
  journal={Physical Review D},
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 a cosmological constant. Here the question of the stability of linear perturbations in this bimetric theory is examined. Instabilities are presented for several classes of models, and simple criteria for the cosmological stability of massive bigravity are derived. In this way, we identify a… 

Figures from this paper

Cosmological viability of massive gravity with generalized matter coupling

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 growth of structure in massive bigravity

The ghost-free theory of massive gravity with two dynamical metrics has been shown to produce viable cosmological expansion, where the late-time acceleration of the Universe is due to the finite

Cosmology with three interacting spin-2 fields

Theories of massive gravity with one or two dynamical metrics generically lack stable and observationally viable cosmological solutions that are distinguishable from $\mathrm{\ensuremath{\Lambda}}$

Observational constraints on bimetric gravity

Ghost-free bimetric gravity is a theory of two interacting spin-2 fields, one massless and one massive, in addition to the standard matter particles and fields, thereby generalizing Einstein’s theory

Perturbations of Cosmological and Black Hole Solutions in Massive gravity and Bi-gravity

We investigate perturbations of a class of spherically symmetric solutions in massive gravity and bi-gravity. The background equations of motion for the particular class of solutions we are

Cosmological Stability of Massive Bigravity

In the previous chapter, and in particular in Sect. 2.1, we discussed an approach to modifying gravity in which its force-carrier particle, the graviton, is given a small mass. In particular, by

Stable cosmology in generalized massive gravity

We present a thorough analysis of the cosmological perturbations in Generalised Massive Gravity. This is an extension of de Rham-Gabadadze-Tolley theory where the translation invariance in the

Constraints on bimetric gravity. Part II. Observational constraints

Ghost-free bimetric gravity is a theory of two interacting spin-2 fields, one massless and one massive, in addition to the standard matter particles and fields, thereby generalizing Einstein's theory

Surfing gravitational waves: can bigravity survive growing tensor modes?

The theory of bigravity offers one of the simplest possibilities to describe a massive graviton while having self-accelerating cosmological solutions without a cosmological constant. However, it has

On nonlocally interacting metrics, and a simple proposal for cosmic acceleration

We propose a simple, nonlocal modification to general relativity (GR) on large scales, which provides a model of late-time cosmic acceleration in the absence of the cosmological constant and with the



Cosmological solutions with massive gravitons in the bigravity theory

A bstractWe present solutions describing homogeneous and isotropic cosmologies in the massive gravity theory with two dynamical metrics recently proposed in arXiv:1109.3515 and maintained to be ghost

Non-local gravity and dark energy

We discuss a nonlocal modification of gravity obtained adding a term $m^2 R\,\Box^{-2}R$ to the Einstein-Hilbert action. We find that the mass parameter $m$ only affects the non-radiative sector of

Perturbations in massive gravity cosmology

A bstractWe study cosmological perturbations for a ghost free massive gravity theory formulated with a dynamical extra metric that is needed to massive deform GR. In this formulation FRW background

Cosmological stability bound in massive gravity and bigravity

We give a simple derivation of a cosmological bound on the graviton mass for spatially flat FRW solutions in massive gravity with an FRW reference metric and for bigravity theories. This bound comes

Massive cosmological scalar perturbations

We study the cosmological perturbations of the new bi-metric gravity proposed by Hassan and Rosen \cite{hasan} as a representation of massive gravity. The mass term in the model, in addition of

FRW cosmology in ghost free massive gravity from bigravity

A bstractWe study FRW homogeneous cosmological solutions in the bigravity extension of the recently found ghost-free massive gravity. When the additional extra metric, needed to generate the mass

Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality

A bstractWe study the background cosmology of the ghost-free, bimetric theory of gravity. We perform an extensive statistical analysis of the model using both frequentist and Bayesian frameworks and

Inflationary Instabilities of Einstein-Aether Cosmology

We examine the consequences of Lorentz violation during slow-roll inflation. We consider a canonical scalar inflaton coupled, through its potential, to the divergence of a fixed-norm timelike vector

Self-accelerating massive gravity: how zweibeins walk through determinant singularities

The theory of massive gravity possesses ambiguities when the spacetime metric evolves far from the non-dynamical fiducial metric used to define it. We explicitly construct a spherically symmetric

Viable cosmological solutions in massive bimetric gravity

We find the general conditions for viable cosmological solution at the background level in bigravity models. Furthermore, we constrain the parameters by comparing to the Union 2.1 supernovae catalog