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Title: Testing general relativity on cosmological scales at redshift z ∼ 1.5 with quasar and CMB lensing

Abstract

ABSTRACT We test general relativity (GR) at the effective redshift $$\bar{z} \sim 1.5$$ by estimating the statistic EG, a probe of gravity, on cosmological scales $$19 - 190\, h^{-1}{\rm Mpc}$$. This is the highest redshift and largest scale estimation of EG so far. We use the quasar sample with redshifts 0.8 < z < 2.2 from Sloan Digital Sky Survey IV extended Baryon Oscillation Spectroscopic Survey Data Release 16 as the large-scale structure (LSS) tracer, for which the angular power spectrum $$C_\ell ^{qq}$$ and the redshift-space distortion parameter β are estimated. By cross-correlating with the Planck 2018 cosmic microwave background (CMB) lensing map, we detect the angular cross-power spectrum $$C_\ell ^{\kappa q}$$ signal at $$12\, \sigma$$ significance. Both jackknife resampling and simulations are used to estimate the covariance matrix (CM) of EG at five bins covering different scales, with the later preferred for its better constraints on the covariances. We find EG estimates agree with the GR prediction at $$1\, \sigma$$ level over all these scales. With the CM estimated with 300 simulations, we report a best-fitting scale-averaged estimate of $$E_G(\bar{z})=0.30\pm 0.05$$, which is in line with the GR prediction $$E_G^{\rm GR}(\bar{z})=0.33$$ with Planck 2018 CMB + BAO matter density fraction Ωm = 0.31. The statistical errors of EG with future LSS surveys at similar redshifts will be reduced by an order of magnitude, which makes it possible to constrain modified gravity models.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3];  [4];  [5]; ORCiD logo [6];  [7];  [8];  [8];  [5]; ORCiD logo [9];  [10]; ORCiD logo [11]
  1. Center for Cosmology and Particle Physics, Department of Physics, New York University, 726 Broadway, New York, NY 10003, USA
  2. Center for Cosmology and Particle Physics, Department of Physics, New York University, 726 Broadway, New York, NY 10003, USA, Center for Computational Astrophysics, Flatiron Institute, New York, NY 10010, USA
  3. Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK
  4. Berkeley Center for Cosmological Physics, University of California, Berkeley, CA 94720, USA
  5. IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
  6. Kavli Institute for Particle Astrophysics and Cosmology, Stanford University, 452 Lomita Mall, Stanford, CA 94305, USA
  7. Max–Planck–Institut für Extraterrestrische Physik, Postfach 1312, Giessenbachstrasse 1, D-85748 Garching bei München, Germany
  8. University of Wyoming, 1000 E. University Ave., Laramie, WY 82071, USA
  9. Center for Cosmology and Astro-Particle Physics, Ohio State University, Columbus, OH, USA
  10. Department of Physics and Astronomy, Sejong University, Seoul 143-747, Korea
  11. Institute of Physics, Laboratory of Astrophysics, École Polytechnique Fédérale de Lausanne (EPFL), Observatoire de Sauverny, CH-1290 Versoix, Switzerland
Publication Date:
Research Org.:
Univ. of Wyoming, Laramie, WY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Aeronautics and Space Administration (NASA); European Research Council (ERC); National Research Foundation of Korea (NRF)
OSTI Identifier:
1745064
Alternate Identifier(s):
OSTI ID: 1787340
Grant/Contract Number:  
SC0019022; 80NSSC18K1014; NNH17ZDA001N; 670193; 2017R1E1A1A01077508; 2020R1A2C1005655
Resource Type:
Published Article
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Name: Monthly Notices of the Royal Astronomical Society Journal Volume: 501 Journal Issue: 1; Journal ID: ISSN 0035-8711
Publisher:
Oxford University Press
Country of Publication:
United Kingdom
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmology: theory; cosmology: observations; large-scale structure of Universe; gravitation; gravitational lensing: weak; cosmic background radiation

Citation Formats

Zhang, Yucheng, Pullen, Anthony R., Alam, Shadab, Singh, Sukhdeep, Burtin, Etienne, Chuang, Chia-Hsun, Hou, Jiamin, Lyke, Brad W., Myers, Adam D., Neveux, Richard, Ross, Ashley J., Rossi, Graziano, and Zhao, Cheng. Testing general relativity on cosmological scales at redshift z ∼ 1.5 with quasar and CMB lensing. United Kingdom: N. p., 2020. Web. https://doi.org/10.1093/mnras/staa3672.
Zhang, Yucheng, Pullen, Anthony R., Alam, Shadab, Singh, Sukhdeep, Burtin, Etienne, Chuang, Chia-Hsun, Hou, Jiamin, Lyke, Brad W., Myers, Adam D., Neveux, Richard, Ross, Ashley J., Rossi, Graziano, & Zhao, Cheng. Testing general relativity on cosmological scales at redshift z ∼ 1.5 with quasar and CMB lensing. United Kingdom. https://doi.org/10.1093/mnras/staa3672
Zhang, Yucheng, Pullen, Anthony R., Alam, Shadab, Singh, Sukhdeep, Burtin, Etienne, Chuang, Chia-Hsun, Hou, Jiamin, Lyke, Brad W., Myers, Adam D., Neveux, Richard, Ross, Ashley J., Rossi, Graziano, and Zhao, Cheng. Wed . "Testing general relativity on cosmological scales at redshift z ∼ 1.5 with quasar and CMB lensing". United Kingdom. https://doi.org/10.1093/mnras/staa3672.
@article{osti_1745064,
title = {Testing general relativity on cosmological scales at redshift z ∼ 1.5 with quasar and CMB lensing},
author = {Zhang, Yucheng and Pullen, Anthony R. and Alam, Shadab and Singh, Sukhdeep and Burtin, Etienne and Chuang, Chia-Hsun and Hou, Jiamin and Lyke, Brad W. and Myers, Adam D. and Neveux, Richard and Ross, Ashley J. and Rossi, Graziano and Zhao, Cheng},
abstractNote = {ABSTRACT We test general relativity (GR) at the effective redshift $\bar{z} \sim 1.5$ by estimating the statistic EG, a probe of gravity, on cosmological scales $19 - 190\, h^{-1}{\rm Mpc}$. This is the highest redshift and largest scale estimation of EG so far. We use the quasar sample with redshifts 0.8 < z < 2.2 from Sloan Digital Sky Survey IV extended Baryon Oscillation Spectroscopic Survey Data Release 16 as the large-scale structure (LSS) tracer, for which the angular power spectrum $C_\ell ^{qq}$ and the redshift-space distortion parameter β are estimated. By cross-correlating with the Planck 2018 cosmic microwave background (CMB) lensing map, we detect the angular cross-power spectrum $C_\ell ^{\kappa q}$ signal at $12\, \sigma$ significance. Both jackknife resampling and simulations are used to estimate the covariance matrix (CM) of EG at five bins covering different scales, with the later preferred for its better constraints on the covariances. We find EG estimates agree with the GR prediction at $1\, \sigma$ level over all these scales. With the CM estimated with 300 simulations, we report a best-fitting scale-averaged estimate of $E_G(\bar{z})=0.30\pm 0.05$, which is in line with the GR prediction $E_G^{\rm GR}(\bar{z})=0.33$ with Planck 2018 CMB + BAO matter density fraction Ωm = 0.31. The statistical errors of EG with future LSS surveys at similar redshifts will be reduced by an order of magnitude, which makes it possible to constrain modified gravity models.},
doi = {10.1093/mnras/staa3672},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 1,
volume = 501,
place = {United Kingdom},
year = {2020},
month = {11}
}

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