Testing General Relativity using Large Scale Structures Photometric Redshift Surveys and Cosmic Microwave Background Lensing Effect

2025/01/06 by Li Shang, Li, Shang, Jun‐Qing Xia +1 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #History and Developments in Astronomy #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2501.02852

openalex publication_date 2025/01/06 · openalex created_date 2025/01/08 · openalex updated_date 2026/07/28

Abstract

The E_G statistic provides a valuable tool for evaluating predictions of General Relativity (GR) by probing the relationship between gravitational potential and galaxy clustering on cosmological scales within the observable universe. In this study, we constrain the E_G statistic using photometric redshift data from the Dark Energy Survey (DES) MagLim sample in combination with the Planck 2018 Cosmic Microwave Background (CMB) lensing map. Unlike spectroscopic redshift surveys, photometric redshift measurements are subject to significant redshift uncertainties, making it challenging to constrain the redshift distortion parameter β with high precision. We adopt a new definition for this parameter, β(z) = fσ₈(z)/bσ₈(z). In this formulation, we reconstruct the growth rate of structure, fσ₈(z), using Artificial Neural Networks (ANN) method, while simultaneously utilizing model-independent constraints on the parameter bσ₈(z), directly obtained from the DES collaboration. After obtaining the angular power spectra C_ℓ^gg (galaxy-galaxy) and C_ℓ^gκ (galaxy-CMB lensing) from the combination of DES photometric data and Planck lensing, we derive new measurements of the E_G statistic: E_G = 0.354 ± 0.146, 0.452 ± 0.092, 0.414 ± 0.069, and 0.296 ± 0.069 (68% C.L.) across four redshift bins: z = 0.30, 0.47, 0.63, and 0.80, respectively, which are consistent with the predictions of the standard ΛCDM model. Finally, we forecast the E_G statistic using future photometric redshift data from the China Space Station Telescope, combined with lensing measurements from the CMB-S4 project, indicating an achievable constraint on E_G of approximately 1%, improving the precision of tests for GR on cosmological scales.

Cited by

• The impact of 2D and 3D BAO measurements on the Cosmic Distance Duality Relation with HII galaxies

Related

• Testing gravitational physics by combining DESI DR1 and weak lensing datasets using the E_G estimator
• The Atacama Cosmology Telescope: DR6 Gravitational Lensing and SDSS BOSS cross-correlation measurement and constraints on gravity with the E_G statistic
• Probing gravity with non-linear clustering in redshift space
• Probing Gravity at Large Scales with kSZ-Reconstructed Velocities and CMB Lensing
• A Unified Photometric Redshift Calibration for Weak Lensing Surveys using the Dark Energy Spectroscopic Instrument