New Model-Independent Method to Test the Curvature of The universe

Abstract

We propose a new model-independent method to test the cosmic curvature by comparing the proper distance and transverse comoving distance. Using the measurements of Hubble parameter H(z) and angular diameter distance d A , the cosmic curvature parameter Ω K is constrained to be −0.09±0.19, which is consistent with a flat universe. We also use Monte Carlo simulation to test the validity and efficiency, and find that our method can give a reliable and efficient constraint on cosmic curvature. Compared with other model-independent methods testing the cosmic curvature, our method can avoid some drawbacks and give a better constraint.

Hubble Parameter Measurement Constraints on the Redshift of the Deceleration–acceleration Transition, Dynamical Dark Energy, and Space Curvature

“…There are many other compilations of H(z) data available in the literature (see, e.g., Cai et al 2015;Meng et al 2015;Duan et al 2016;Nunes et al 2016;Qi et al 2016;Solà et al 2016;Yu & Wang 2016;Zhang & Xia 2016). We emphasize that our compilation here does not include older, less reliable data, a few with a lot of weight because of anomalously small error bars.…”

Quasar X-ray and UV flux, baryon acoustic oscillation, and Hubble parameter measurement constraints on cosmological model parameters

“…The main goal of our paper is to use the Risaliti & Lusso (2015) quasar (QSO) X-ray and UV flux measurements to constrain cosmological parameters. Risaliti & Lusso (2015) 1 For discussion of observational constraints on spatial curvature, see Farooq et al (2015), Chen et al (2016), Yu & Wang (2016), Wei & Wu (2017), Rana et al (2017), Ooba et al (2018a,b,c), DES Collaboration (2018a), Witzemann et al (2018), Yu et al (2018), Park & Ratra (2018a,b,c,d, 2019, Mitra et al (2018), Penton et al (2018), Xu et al (2019), Zheng et al (2019), Ruan et al (2019), Giambó et al (2019), Coley (2019), Eingorn et al (2019), Jesus et al (2019), Handley et al (2019), and references therein.…”

Measuring the cosmic proper distance from fast radio bursts

“…which can constrain Ω K independently of the model (Yu & Wang 2016). First, 20 mock transverse comoving distance d M data were uniformly simulated from Eq.…”

“…As we described above, we used the open-source Python package Gapp to apply the GP. This code is widely used (Cai, Guo, & Yang 2016;Yu & Wang 2016). The kernel function in this code is…”

“…The first point is that the proper distance d P is the fundamental distance in the Universe. The second point is that the proper distance d P can be used to constrain the cosmic curvature (Yu & Wang 2016). The third point is to test the cosmological principle, that is, the Universe is homogeneous and isotropic at large scales.…”