Linear growth of structure in massive gravity
arXiv:2206.04086 · doi:10.1103/PhysRevD.106.083527
Abstract
We study background dynamics and the growth of matter perturbations in the extended quasidilaton setup of massive gravity. For the analysis of perturbations, we first choose a scalar field matter component and obtain the conditions under which all scalar perturbations are stable. We work in unitary gauge for the matter field, which allows us to directly map to known results in the limit of general relativity. By performing a parameter search, we find that the perturbations are unstable in general, while a particular choice of potential, where the scalar field effectively behaves like pressureless matter, allows for stable perturbations. We next consider the growth of matter perturbations in a cold dark matter-dominated Universe. Working in conformal Newtonian gauge, we obtain evolution equations for various observables including the growth factor and growth rate, and find scale-independent growth in the quasistatic and subhorizon approximations. We finally show how the Hubble parameter and matter perturbations evolve in massive gravity for a specific choice of parameter values, and how this evolution compares to the standard cosmological model consisting of a cosmological constant and cold dark matter.
16 pages, 5 figures. Mathematica notebook supplement is enclosed in the source file
References in corpus (16)
- Resummation of Massive Gravity
- Quasi-Dilaton: Theory and Cosmology
- Linear growth of structure in massive bigravity
- Optimising growth of structure constraints on modified gravity
- Practical solutions for perturbed f(R) gravity
- Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity
- Minimal theory of massive gravity and constraints on the graviton mass
- Minimal Theory of Bigravity: construction and cosmology
- Revisiting perturbations in extended quasidilaton massive gravity
- Stability of cosmological solutions in extended quasidilaton massive gravity
- Cosmic Acceleration and Growth of Structure in Massive Gravity
- Role of matter in extended quasidilaton massive gravity
- Stable cosmology in ghost-free quasidilaton theory
- Generalising the matter coupling in massive gravity: a search for new interactions
- Linear growth of structure in projected massive gravity
- On the ghost issue of extended quasidilaton