Near-Horizon Solution for DGP Perturbations
arXiv:astro-ph/0606285 · doi:10.1103/PhysRevD.75.064002
Abstract
We develop a scaling ansatz for the master equation in Dvali, Gabadadze, Porrati cosmologies, which allows us to solve the equations of motion for perturbations off the brane during periods when the on-brane evolution is scale-free. This allows us to understand the behavior of the gravitational potentials outside the horizon at high redshifts and close to the horizon today. We confirm that the results of Koyama and Maartens are valid at scales relevant for observations such as galaxy-ISW correlation. At larger scales, there is an additional suppression of the potential which reduces the growth rate even further and would strengthen the ISW effect.
11 pages, 10 figures, changes to introduction reflect version accepted by PRD
References in corpus (22)
- 4D Gravity on a Brane in 5D Minkowski Space
- The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
- The Einstein Equations on the 3-Brane World
- Causality, Analyticity and an IR Obstruction to UV Completion
- Accelerated Universe from Gravity Leaking to Extra Dimensions
- Brane cosmological evolution in a bulk with cosmological constant
- Cosmology on a Brane in Minkowski Bulk
- Strong Interactions and Stability in the DGP Model
- Classical and Quantum Consistency of the DGP Model
- Probing Newton's Constant on Vast Scales: DGP Gravity, Cosmic Acceleration and Large Scale Structure
- The Phenomenology of Dvali-Gabadadze-Porrati Cosmologies
- Structure formation in the DGP cosmological model
- More on ghosts in DGP model
- Toward Understanding CMB Anisotropies and Their Implications
- DGP Specteroscopy
- Gauge-invariant gravitational perturbations of maximally symmetric spacetimes
- Are there ghosts in the self-accelerating brane universe?
- Effective Gravitational Equations on Brane World with Induced Gravity
- Large-Scale Tests of the DGP Model
- The Structure of Structure Formation Theories
- On Brane World Cosmological Perturbations
- Perturbations of Self-Accelerated Universe
Cited by in corpus (37)
- Modified Gravity and Cosmology
- Brane-World Gravity
- A Parameterized Post-Friedmann Framework for Modified Gravity
- Parameterized Beyond-Einstein Growth
- Challenges to the DGP Model from Horizon-Scale Growth and Geometry
- Large-Scale Tests of the DGP Model
- Cuscuton Cosmology: Dark Energy meets Modified Gravity
- Cosmological Constraints on DGP Braneworld Gravity with Brane Tension
- Non-linear interactions in a cosmological background in the DGP braneworld
- N-Body Simulations of DGP and Degravitation Theories
- Towards a fully consistent parameterization of modified gravity
- The cosmological constant and dark energy in braneworlds
- Large-Scale Structure in Brane-Induced Gravity II. Numerical Simulations
- Growth Index of DGP Model and Current Growth Rate Data
- Observational Evidence for Cosmological-Scale Extra Dimensions
- Accelerating cosmologies tested by distance measures
- Unexorcized ghost in DGP brane world
- Relativistic effects in galaxy clustering in a parametrized post-Friedmann universe
- Cosmological perturbations in the DGP braneworld: numeric solution
- Constraints on modified gravity from the observed X-ray luminosity function of galaxy clusters
- Large-Scale Structure in Brane-Induced Gravity I. Perturbation Theory
- Detectability of a phantom-like braneworld model with the integrated Sachs-Wolfe effect
- Distance Priors from \emph{Planck} 2015 data
- Induced cosmological constant and other features of asymmetric brane embedding
- Nonlinear evolution of initially biased tracers in modified gravity
- Large Scale Structure Formation of Normal Branch in DGP Brane World Model
- Phantom braneworld and the Hubble tension
- Topology of large scale structure as test of modified gravity
- Signatures of Modified Gravity on the 21-cm Power Spectrum at Reionisation
- Reconstructing Cosmological Matter Perturbations using Standard Candles and Rulers
- Gravitational instability on the brane: the role of boundary conditions
- Cosmological perturbations on the Phantom brane
- Acceleration from Modified Gravity: Lessons from Worked Examples
- Analytic Description of DGP Perturbations on All Scales
- A no-boundary proposal for braneworld perturbations
- CDM and Baryons as Distinct Fluids in a Linear Approximation for the Growth of Structure
- Radar Signal Delay in the Dvali-Gabadadze-Porrati Gravity in the Vicinity of the Sun