Analytic Description of DGP Perturbations on All Scales
arXiv:1007.4242 · doi:10.1103/PhysRevD.82.124015
Abstract
We develop analytic solutions for the linear evolution of metric perturbations in the DGP braneworld modified gravity scenario including near-horizon and superhorizon modes where solutions in the bulk are required. These solutions apply to both the self-accelerating and normal branch and elucidate the nature of coordinate singularities and initial data in the bulk as well as their effect on perturbation evolution on the brane. Even on superhorizon scales, the evolution of metric perturbations is no longer necessarily scale free due to multiple resonances in the bulk. Based on these analytic solutions, we devise convenient fitting functions for the evolution that bridge the various spatial and temporal regimes. Compared with a direct numerical integration of the bulk equations, the fits are accurate at the percent level and are sufficient for current and upcoming observational tests.
21 pages, 7 figures, minor changes to text and reference added, version to appear in PRD
References in corpus (19)
- 4D Gravity on a Brane in 5D Minkowski Space
- The Einstein Equations on the 3-Brane World
- Cosmology on a Brane in Minkowski Bulk
- A Parameterized Post-Friedmann Framework for Modified Gravity
- Probing Newton's Constant on Vast Scales: DGP Gravity, Cosmic Acceleration and Large Scale Structure
- Crossing the Phantom Divide with Parameterized Post-Friedmann Dark Energy
- Structure formation in the DGP cosmological model
- Gauge-invariant gravitational perturbations of maximally symmetric spacetimes
- Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
- Ghosts in the self-accelerating universe
- Challenges to the DGP Model from Horizon-Scale Growth and Geometry
- Effective Gravitational Equations on Brane World with Induced Gravity
- Large-Scale Tests of the DGP Model
- Cosmological Constraints on DGP Braneworld Gravity with Brane Tension
- On Brane World Cosmological Perturbations
- Cosmological perturbations in the DGP braneworld: numeric solution
- Near-Horizon Solution for DGP Perturbations
- Large Scale Structure Formation of Normal Branch in DGP Brane World Model
- Gravitational waves and cosmological braneworlds: a characteristic evolution scheme
Cited by in corpus (11)
- Modified Gravity and Cosmology
- Testing General Relativity in Cosmology
- Relativistic effects in galaxy clustering in a parametrized post-Friedmann universe
- Braneworld non-minimal inflation with induced gravity
- Testing nonstandard cosmological models with SNLS3 supernova data and other cosmological probes
- Consistency check of ΛCDM phenomenology
- Phantom braneworld and the Hubble tension
- Euclid: Constraining linearly scale-independent modifications of gravity with the spectroscopic and photometric primary probes
- Cosmological perturbations on the Phantom brane
- Intermediate inflation on the brane and warped DGP models
- A no-boundary proposal for braneworld perturbations