Near-Horizon Solution for DGP Perturbations

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 (4)

• Causality, Analyticity and an IR Obstruction to UV Completion
• DGP Specteroscopy
• Large-Scale Tests of the DGP Model
• Perturbations of Self-Accelerated Universe

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• N-Body Simulations of DGP and Degravitation Theories
• The cosmological constant and dark energy in braneworlds
• Growth Index of DGP Model and Current Growth Rate Data
• Accelerating cosmologies tested by distance measures
• Cosmological perturbations in the DGP braneworld: numeric solution
• Large-Scale Structure in Brane-Induced Gravity I. Perturbation Theory
• Detectability of a phantom-like braneworld model with the integrated Sachs-Wolfe effect
• Induced cosmological constant and other features of asymmetric brane embedding
• Large Scale Structure Formation of Normal Branch in DGP Brane World Model
• Gravitational instability on the brane: the role of boundary conditions
• Acceleration from Modified Gravity: Lessons from Worked Examples