Blake, ChrisAmon, AlexandraAsgari, MBilicki, Maciej IejDvornik, AndrejErben, ThomasGiblin, BenjaminGlazebrook, KarlHeymans, CatherineHildebrandt, HJoachimi, BenjaminLidman, Christopher2022-10-062022-10-060004-6361http://hdl.handle.net/1885/274350The physics of gravity on cosmological scales affects both the rate of assembly of large-scale structure and the gravitational lensing ofbackground light through this cosmic web. By comparing the amplitude of these different observational signatures, we can constructtests that can distinguish general relativity from its potential modifications. We used the latest weak gravitational lensing dataset fromthe Kilo-Degree Survey, KiDS-1000, in conjunction with overlapping galaxy spectroscopic redshift surveys, BOSS and 2dFLenS, toperform the most precise existing amplitude-ratio test. We measured the associatedEGstatistic with 15−20% errors in five∆z=0.1tomographic redshift bins in the range 0.2<z<0.7 on projected scales up to 100h−1Mpc. The scale-independence and redshift-dependence of these measurements are consistent with the theoretical expectation of general relativity in a Universe with matterdensityΩm=0.27 +- 0.04. We demonstrate that our results are robust against different analysis choices, including schemes forcorrecting the effects of source photometric redshift errors, and we compare the performance of angular and projected galaxy-galaxylensing statistics.the European Research Council under grant numbers 647112 (MA, BG, CH, TT), 770935 (AD, HH, JLvdB, AHW) and 693024 (SJ); the Polish Ministry of Science and Higher Education through grant DIR/WK/2018/12 and the Polish National Science Center through grant 2018/30/E/ST9/00698 (MB); the Max Planck Society and the Alexander von Humboldt Foundation in the framework of the Max Planck-Humboldt Research Award endowed by the Federal Ministry of Education and Research (CH); Heisenberg grant Hi 1495/5-1 of the Deutsche Forschungsgemeinschaft (HH); the Beecroft Trust (SJ); Vici grant 639.043.512 financed by the Netherlands Organisation for Scientific Research (AK); the Alexander von Humboldt Foundation (KK); the NSFC of China grant 11973070, the Shanghai Committee of Science and Technology grant 19ZR1466600 and Key Research Program of Frontier Sciences grant ZDBS-LY-7013 (HYS); and the European Union’s Horizon 2020 research and innovation programme under the Marie SklodowskaCurie grant 797794 (TT).application/pdfen-AU© 2020 The authorsdark energylarge-scale structure of Universegravitational lensing: weaksurveys202010.1051/0004-6361/2020385052021-11-28