Testing gravity with $E_G$: mapping theory onto observations

Abstract

We present a complete derivation of the observationally motivated definition of the modified gravity statistic $E_G$. Using this expression, we investigate how variations to theory and survey parameters may introduce uncertainty in the general relativistic prediction of $E_G$. We forecast errors on $E_G$ for measurements using two combinations of upcoming surveys, and find that theoretical uncertainties may dominate for a futuristic measurement. Finally, we compute predictions of $E_G$ under modifications to general relativity in the quasistatic regime, and comment on the pros and cons of using $E_G$ to test gravity with future surveys.

27 pages, 9 figures. Updated to match published version

References in corpus (11)

• Measuring the dark side (with weak lensing)
• A discriminating probe of gravity at cosmological scales
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Distinguishing Modified Gravity from Dark Energy
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• Weak Lensing Probes of Modified Gravity
• The effect of modified gravity on weak lensing
• The linear growth rate of structure in Parametrized Post Friedmannian Universes
• New Gravitational Scales in Cosmological Surveys
• Probing gravity at large scales through CMB lensing
• Exploring degeneracies in modified gravity with weak lensing

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