Parametrized Post-Friedmann Signatures of Acceleration in the CMB

Abstract

We extend the covariant, parametrized post-Friedmann treatment of cosmic acceleration from modified gravity to an arbitrary admixture of matter, radiation, relativistic components and spatial curvature. Explicit expressions in the comoving, Newtonian and synchronous gauges facilitate the adaptation of Einstein-Boltzmann codes for solving CMB and matter perturbations in the linear regime. Using a comoving gauge code, we study the effect of metric evolution on the CMB through the integrated Sachs-Wolfe effect. Modified gravity can alter the low multipole spectrum, including lowering the power in the quadrupole. From a principal component description of the primary metric ratio parameter, we obtain general constraints from WMAP on modified gravity models of the acceleration.

11 pages, 8 figures, changes reflect PRD published version, several typos corrected thanks to Wenjuan Fang

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Cited by in corpus (16)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Approaches to Understanding Cosmic Acceleration
• Searching for modified growth patterns with tomographic surveys
• Crossing the Phantom Divide with Parameterized Post-Friedmann Dark Energy
• Testing gravity with CAMB and CosmoMC
• The Tensor-Vector-Scalar theory and its cosmology
• Eddington-Born-Infeld gravity and the large scale structure of the Universe
• A Multi-Parameter Investigation of Gravitational Slip
• A step towards testing general relativity using weak gravitational lensing and redshift surveys
• A Future Test of Gravitation Using Galaxy Cluster Velocities
• Testing Alternative Theories of Dark Matter with the CMB
• Lensed Cosmic Microwave Background Constraints on Post-General Relativity Parameters
• Acceleration from Modified Gravity: Lessons from Worked Examples
• Problems with Modified Theories of Gravity, as Alternatives to Dark Energy
• The Effects of Gravitational Slip on the Higher-Order Moments of the Matter Distribution
• Constraining Gravitational and Cosmological Parameters with Astrophysical Data