Analytic Description of DGP Perturbations on All Scales

TL;DR

This paper derives analytic solutions for linear metric perturbations in the DGP braneworld gravity model, covering all scales including near-horizon and superhorizon modes, and provides accurate fitting functions for observational testing.

Contribution

It introduces comprehensive analytic solutions for DGP perturbations across all scales, including near-horizon and superhorizon modes, enhancing understanding of bulk effects on brane perturbations.

Findings

Analytic solutions valid on all scales including near-horizon and superhorizon modes.

Fitting functions that accurately approximate perturbation evolution with percent-level precision.

Insights into the impact of bulk resonances on scale dependence of metric perturbations.

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.