New Model-independent Method to Test the Curvature of the Universe

TL;DR

This paper introduces a new model-independent approach to measure the universe's curvature by comparing different cosmological distance measures, providing reliable constraints that align with a flat universe.

Contribution

The paper presents a novel method that avoids common drawbacks of previous techniques, improving the accuracy and efficiency of cosmic curvature testing.

Findings

Cosmic curvature parameter $\

-0.09 ext{ to }0.19$, consistent with flat universe

Method validated with Monte Carlo simulations showing reliability

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 $\Omega_K$ is constrained to be $-0.09\pm0.19$, 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.