Testing General Relativity Using Large-scale Structure Photometric Redshift Surveys and the Cosmic Microwave Background Lensing Effect
The E _G statistic provides a valuable tool for evaluating the 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 photomet...
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2025-01-01
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| Online Access: | https://doi.org/10.3847/1538-4365/ada605 |
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| author | Shang Li Jun-Qing Xia |
| author_facet | Shang Li Jun-Qing Xia |
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| description | The E _G statistic provides a valuable tool for evaluating the 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 ) = fσ _8 ( z )/ bσ _8 ( z ). In this formulation, we reconstruct the growth rate of structure, fσ _8 ( z ), using the artificial neural network method, while simultaneously utilizing model-independent constraints on the parameter bσ _8 ( z ), directly obtained from the DES collaboration. After obtaining the angular power spectra ${C}_{\ell }^{gg}$ (galaxy–galaxy) and ${C}_{\ell }^{g\kappa }$ (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% confidence limit) across four redshift bins z = 0.30, 0.47, 0.63, and 0.80, respectively, which are consistent with the predictions of the standard Lambda cold dark matter 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. |
| format | Article |
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| institution | Kabale University |
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| spelling | doaj-art-805ec2619e1a49698525b4fd3add86ac2025-02-06T09:21:46ZengIOP PublishingThe Astrophysical Journal Supplement Series0067-00492025-01-0127627110.3847/1538-4365/ada605Testing General Relativity Using Large-scale Structure Photometric Redshift Surveys and the Cosmic Microwave Background Lensing EffectShang Li0Jun-Qing Xia1School of Physics and Astronomy, Beijing Normal University , Beijing 100875, People’s Republic of China ; xiajq@bnu.edu.cn; Institute for Frontiers in Astronomy and Astrophysics, Beijing Normal University , Beijing 100875, People’s Republic of ChinaSchool of Physics and Astronomy, Beijing Normal University , Beijing 100875, People’s Republic of China ; xiajq@bnu.edu.cn; Institute for Frontiers in Astronomy and Astrophysics, Beijing Normal University , Beijing 100875, People’s Republic of ChinaThe E _G statistic provides a valuable tool for evaluating the 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 ) = fσ _8 ( z )/ bσ _8 ( z ). In this formulation, we reconstruct the growth rate of structure, fσ _8 ( z ), using the artificial neural network method, while simultaneously utilizing model-independent constraints on the parameter bσ _8 ( z ), directly obtained from the DES collaboration. After obtaining the angular power spectra ${C}_{\ell }^{gg}$ (galaxy–galaxy) and ${C}_{\ell }^{g\kappa }$ (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% confidence limit) across four redshift bins z = 0.30, 0.47, 0.63, and 0.80, respectively, which are consistent with the predictions of the standard Lambda cold dark matter 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.https://doi.org/10.3847/1538-4365/ada605Large-scale structure of the universeWeak gravitational lensingCosmic microwave background radiationObservational cosmology |
| spellingShingle | Shang Li Jun-Qing Xia Testing General Relativity Using Large-scale Structure Photometric Redshift Surveys and the Cosmic Microwave Background Lensing Effect The Astrophysical Journal Supplement Series Large-scale structure of the universe Weak gravitational lensing Cosmic microwave background radiation Observational cosmology |
| title | Testing General Relativity Using Large-scale Structure Photometric Redshift Surveys and the Cosmic Microwave Background Lensing Effect |
| title_full | Testing General Relativity Using Large-scale Structure Photometric Redshift Surveys and the Cosmic Microwave Background Lensing Effect |
| title_fullStr | Testing General Relativity Using Large-scale Structure Photometric Redshift Surveys and the Cosmic Microwave Background Lensing Effect |
| title_full_unstemmed | Testing General Relativity Using Large-scale Structure Photometric Redshift Surveys and the Cosmic Microwave Background Lensing Effect |
| title_short | Testing General Relativity Using Large-scale Structure Photometric Redshift Surveys and the Cosmic Microwave Background Lensing Effect |
| title_sort | testing general relativity using large scale structure photometric redshift surveys and the cosmic microwave background lensing effect |
| topic | Large-scale structure of the universe Weak gravitational lensing Cosmic microwave background radiation Observational cosmology |
| url | https://doi.org/10.3847/1538-4365/ada605 |
| work_keys_str_mv | AT shangli testinggeneralrelativityusinglargescalestructurephotometricredshiftsurveysandthecosmicmicrowavebackgroundlensingeffect AT junqingxia testinggeneralrelativityusinglargescalestructurephotometricredshiftsurveysandthecosmicmicrowavebackgroundlensingeffect |