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Main Authors: Gong, Xiaolong, Xu, Yifei, Liu, Tonghua, Cao, Shuo, Jiang, Jianyong, Nan, Yalong, Ding, Ruobin
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.10503
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author Gong, Xiaolong
Xu, Yifei
Liu, Tonghua
Cao, Shuo
Jiang, Jianyong
Nan, Yalong
Ding, Ruobin
author_facet Gong, Xiaolong
Xu, Yifei
Liu, Tonghua
Cao, Shuo
Jiang, Jianyong
Nan, Yalong
Ding, Ruobin
contents In this letter, we propose an improved cosmological model-independent method to measure cosmic curvature, combining the recent measurements of transverse and line-of-sight directions in the baryon acoustic oscillations (BAO) with cosmic chronometers (CC) datasets. Considering that the CC dataset is discrete and includes only 32 $H(z)$ measurements, we apply Gaussian process (GP) regression to fit the CC dataset and reconstruct them. Our methodology, which does not need the calibration or selection of any cosmological model, provide multiple measurements of spatial curvature ($Ω_K$) at different redshifts (depending on the redshift coverage of BAO dataset). For combination of all BAO data, we find that the constraint result on cosmic curvature is $Ω_K=-0.096^{+0.190}_{-0.195}$ with $1σ$ observational uncertainty. Although the measured $Ω_K$ is in good agreement with zero cosmic curvature within 1$σ$ confidence level, our result revels the fact of a closed universe. More importantly, our results show that the obtained $Ω_K$ measurements are almost unaffected by different priors of the Hubble constant. This could help solve the issue of the Hubble tension that may be caused by inconsistencies in the spatial curvature between the early and late universes.
format Preprint
id arxiv_https___arxiv_org_abs_2401_10503
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multiple measurements on the cosmic curvature using Gaussian process regression without calibration and a cosmological model
Gong, Xiaolong
Xu, Yifei
Liu, Tonghua
Cao, Shuo
Jiang, Jianyong
Nan, Yalong
Ding, Ruobin
Cosmology and Nongalactic Astrophysics
In this letter, we propose an improved cosmological model-independent method to measure cosmic curvature, combining the recent measurements of transverse and line-of-sight directions in the baryon acoustic oscillations (BAO) with cosmic chronometers (CC) datasets. Considering that the CC dataset is discrete and includes only 32 $H(z)$ measurements, we apply Gaussian process (GP) regression to fit the CC dataset and reconstruct them. Our methodology, which does not need the calibration or selection of any cosmological model, provide multiple measurements of spatial curvature ($Ω_K$) at different redshifts (depending on the redshift coverage of BAO dataset). For combination of all BAO data, we find that the constraint result on cosmic curvature is $Ω_K=-0.096^{+0.190}_{-0.195}$ with $1σ$ observational uncertainty. Although the measured $Ω_K$ is in good agreement with zero cosmic curvature within 1$σ$ confidence level, our result revels the fact of a closed universe. More importantly, our results show that the obtained $Ω_K$ measurements are almost unaffected by different priors of the Hubble constant. This could help solve the issue of the Hubble tension that may be caused by inconsistencies in the spatial curvature between the early and late universes.
title Multiple measurements on the cosmic curvature using Gaussian process regression without calibration and a cosmological model
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2401.10503