Cosmological Tests of Gravity: A Future Perspective
Matteo Martinelli, Santiago Casas

TL;DR
This paper reviews upcoming cosmological tests of gravity, emphasizing model-independent constraints and the potential of future surveys to improve our understanding of gravity's nature at large scales.
Contribution
It provides a comprehensive overview of future prospects for testing gravity through cosmological observations and discusses the challenges in theoretical predictions.
Findings
Future surveys will significantly tighten constraints on deviations from general relativity.
Novel probes and improved theoretical models are crucial for interpreting upcoming data.
Enhanced accuracy in predictions is necessary due to increased experimental sensitivity.
Abstract
In this review, we outline the expected tests of gravity that will be achieved at cosmological scales in the upcoming decades. We focus mainly on constraints on phenomenologically parameterized deviations from general relativity, which allow to test gravity in a model-independent way, but also review some of the expected constraints obtained with more physically motivated approaches. After reviewing the state-of-the-art for such constraints, we outline the expected improvement that future cosmological surveys will achieve, focusing mainly on future large-scale structures and cosmic microwave background surveys but also looking into novel probes on the nature of gravity. We will also highlight the necessity of overcoming accuracy issues in our theoretical predictions, issues that become relevant due to the expected sensitivity of future experiments.
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