Cosmological perturbations in massive bigravity
arXiv:1410.0207 · doi:10.1088/1475-7516/2014/12/026
Abstract
We present a comprehensive analysis of classical scalar, vector and tensor cosmological perturbations in ghost-free massive bigravity. In particular, we find the full evolution equations and analytical solutions in a wide range of regimes. We show that there are viable cosmological backgrounds but, as has been found in the literature, these models generally have exponential instabilities in linear perturbation theory. However, it is possible to find stable scalar cosmological perturbations for a very particular choice of parameters. For this stable subclass of models we find that vector and tensor perturbations have growing solutions. We argue that special initial conditions are needed for tensor modes in order to have a viable model.
42 pages, 15 figures. Update: typos corrected and appendix on Higuchi bound
References in corpus (8)
- Resummation of Massive Gravity
- Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
- Acausality of Massive Gravity
- Viable cosmology in bimetric theory
- FRW Cosmological Perturbations in Massive Bigravity
- TeVeS gets caught on caustics
- Linear growth of structure in massive bigravity
- Covariant constraints for generic massive gravity and analysis of its characteristics
Cited by in corpus (7)
- Bimetric gravity is cosmologically viable
- Gravitational waves in bigravity cosmology
- Cosmology in bimetric theory with an effective composite coupling to matter
- Higuchi Ghosts and Gradient Instabilities in Bimetric Gravity
- Integrated Sachs-Wolfe effect in massive bigravity
- Cosmological viability of massive gravity with generalized matter coupling
- Surfing gravitational waves: can bigravity survive growing tensor modes?