A general mass term for bigravity
arXiv:1512.02131 · doi:10.1088/1475-7516/2016/04/051
Abstract
We introduce a new formalism to study perturbations of Hassan-Rosen bigravity theory, around general backgrounds for the two dynamical metrics. In particular, we derive the general expression for the mass term of the perturbations and we explicitly compute it for cosmological settings. We study tensor perturbations in a specific branch of bigravity using this formalism. We show that the tensor sector is affected by a late-time instability, which sets in when the mass matrix is no longer positive definite.
27 pages, 24 figures; v3: version accepted for publication in JCAP
References in corpus (28)
- Resummation of Massive Gravity
- Dark Energy and Dark Gravity
- Degravitation of the Cosmological Constant and Graviton Width
- Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
- Bimetric gravity is cosmologically viable
- On couplings to matter in massive (bi-)gravity
- Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
- Viable cosmology in bimetric theory
- Cosmological perturbations in massive bigravity
- Minimal theory of massive gravity
- Gravitational waves in bigravity cosmology
- The coupling to matter in Massive, Bi- and Multi-Gravity
- Cosmic expansion histories in massive bigravity with symmetric matter coupling
- Particular Solutions in Bimetric Theory and Their Implications
- Linear growth of structure in massive bigravity
- Cosmology in bimetric theory with an effective composite coupling to matter
- Higuchi Ghosts and Gradient Instabilities in Bimetric Gravity
- Cosmology of bigravity with doubly coupled matter
- Quantum corrections in massive bigravity and new effective composite metrics
- Cosmology and perturbations in massive gravity
- Dark Energy from Brane-world Gravity
- Stable FLRW solutions in Generalized Massive Gravity
- More on effective composite metrics
- On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity
- Absence of ghost in a new bimetric-matter coupling
- Tensor Modes in Bigravity: Primordial to Present
- Non-local formulation of ghost-free bigravity theory
- Generalised matter couplings in massive bigravity
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- Linear spin-2 fields in most general backgrounds
- A general theory of linear cosmological perturbations: bimetric theories
- Combining cosmological and local bounds on bimetric theory
- Extending applicability of bimetric theory: chameleon bigravity
- Vainshtein Screening in Bimetric Cosmology
- Structures in multiple spin-2 interactions
- Black Holes in Multi-Metric Gravity
- Aller guten Dinge sind drei: Cosmology with three interacting spin-2 fields
- Cosmology of Massive Gravity and its Extensions
- Gravitational wave oscillations in bimetric cosmology
- On scale-free extensions of massive (bi-)gravity
- Black Holes in Multi-Metric Gravity II: Hairy Solutions and Linear Stability of the Non- and Partially Proportional Branches