Cosmological tests of General Relativity: a principal component analysis

Abstract

The next generation of weak lensing surveys will trace the evolution of matter perturbations and gravitational potentials from the matter dominated epoch until today. Along with constraining the dynamics of dark energy, they will probe the relations between matter overdensities, local curvature, and the Newtonian potential. We work with two functions of time and scale to account for any modifications of these relations in the linear regime from those in the LCDM model. We perform a Principal Component Analysis (PCA) to find the eigenmodes and eigenvalues of these functions for surveys like DES and LSST. This paper builds on and significantly extends the PCA analysis of Zhao et al. (2009) in several ways. In particular, we consider the impact of some of the systematic effects expected in weak lensing surveys. We also present the PCA in terms of other choices of the two functions needed to parameterize modified growth on linear scales, and discuss their merits. We analyze the degeneracy between the modified growth functions and other cosmological parameters, paying special attention to the effective equation of state w(z). Finally, we demonstrate the utility of the PCA as an efficient data compression stage which enables one to easily derive constraints on parameters of specific models without recalculating Fisher matrices from scratch.

18 pages, 24 figures

References in corpus (22)

• The Large Scale Structure of f(R) Gravity
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Measuring the dark side (with weak lensing)
• Approaches to Understanding Cosmic Acceleration
• Large Scale Structure as a Probe of Gravitational Slip
• Distinguishing Modified Gravity from Dark Energy
• Searching for modified growth patterns with tomographic surveys
• Degravitation of the Cosmological Constant and Graviton Width
• Observational Tests of Modified Gravity
• Cluster Constraints on f(R) Gravity
• Testing gravity with CAMB and CosmoMC
• Dark Energy versus Modified Gravity
• Current constraints on the cosmic growth history
• How to optimally parametrize deviations from General Relativity in the evolution of cosmological perturbations
• Probing modifications of General Relativity using current cosmological observations
• Constraints on a New Post-General Relativity Cosmological Parameter
• Next Generation Redshift Surveys and the Origin of Cosmic Acceleration
• Testing General Relativity at Cosmological Scales: Implementation and Parameter Correlations
• Distance, Growth Factor, and Dark Energy Constraints from Photometric Baryon Acoustic Oscillation and Weak Lensing Measurements
• The linear growth rate of structure in Parametrized Post Friedmannian Universes
• How to Distinguish Dark Energy and Modified Gravity?
• The Evolution of Bias - Generalized

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• Cosmological Constraints on sub-horizon scales modified gravity theories with MGCLASS II
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• Testing gravity with $E_G$: mapping theory onto observations
• Probing Modified Gravity Theories with ISW and CMB Lensing
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• Cosmological gravity on all scales: simple equations, required conditions, and a framework for modified gravity
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• Reconstruction of late-time cosmology using Principal Component Analysis
• Constraining Cosmic Expansion and Gravity with Galaxy Redshift Surveys
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• Model Breaking Measure for Cosmological Surveys
• A representation learning approach to probe for dynamical dark energy in matter power spectra
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• Comparison of piecewise-constant methods for dark energy
• Cosmological gravity on all scales III: non-linear matter power spectrum in phenomenological modified gravity
• $\Lambda$CDM and early dark energy in latent space: a data-driven parametrization of the CMB temperature power spectrum
• Linear and non-linear Modified Gravity forecasts with future surveys
• Euclid: Constraints on f(R) cosmologies from the spectroscopic and photometric primary probes
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