Using Gaussian-process reconstructions of cosmic distances and expansion rates, the authors find no statistically significant departure from flatness or from the cosmological principle in current data, and they forecast much tighter constraints from upcoming J-PAS and LIGO observations.
New Model-independent Method to Test the Curvature of the Universe
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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.
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Non-parametric reconstructions of cosmic curvature: current constraints and forecasts
Using Gaussian-process reconstructions of cosmic distances and expansion rates, the authors find no statistically significant departure from flatness or from the cosmological principle in current data, and they forecast much tighter constraints from upcoming J-PAS and LIGO observations.