Null test of the cosmic curvature using H(z) and supernovae data

Rong-Gen Cai, Zong-Kuan Guo, and Tao Yang
Phys. Rev. D 93, 043517 – Published 10 February 2016

Abstract

We introduce a model-independent approach to the null test of the cosmic curvature, which is geometrically related to the Hubble parameter H(z) and luminosity distance dL(z). Combining the independent observations of H(z) and dL(z), we use the model-independent smoothing technique, Gaussian processes, to reconstruct them and determine the cosmic curvature ΩK(0) in the null test relation. The null test is totally geometrical and does not assume any cosmological model. We show that the cosmic curvature ΩK(0)=0 is consistent with current observational data sets, falling within the 1σ limit. To demonstrate the effect on the precision of the null test, we produce a series of simulated data of the models with different ΩK(0). Future observations in better quality can provide a greater improvement to constrain or refute the flat universe with ΩK(0)=0.

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  • Received 28 September 2015

DOI:https://doi.org/10.1103/PhysRevD.93.043517

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Rong-Gen Cai*, Zong-Kuan Guo, and Tao Yang

  • State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190, China

  • *cairg@itp.ac.cn
  • guozk@itp.ac.cn
  • yangtao@itp.ac.cn

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Issue

Vol. 93, Iss. 4 — 15 February 2016

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