• Corpus ID: 16095884

How to Measure the Cosmic Curvature

@article{Gu2007HowTM,
  title={How to Measure the Cosmic Curvature},
  author={Ying-Qiu Gu and Maxim Yu. Khlopov},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2007}
}

• Ying-Qiu Gu, M. Khlopov
• Published 9 January 2007
• Physics
• arXiv: General Relativity and Quantum Cosmology

The conventional method to determine the cosmic curvature is to measure the total mass density $\Omega_{\rm tot}$. Unfortunately the observational $\Omega_{\rm tot}$ is closely near the critical value 1. The computation of this paper shows that $\Omega_{\rm tot}\approx 1$ is an inevitable result for the young universe independent of the spatial topology. So the mass density is not a good criterion to determine the cosmic curvature. In this paper, we derive a new criterion based on the galactic distribution with respect to redshift $z$, which only depends on the cosmological principle and geometry. The different type of spatial topology will give different results, then the case can be definitely determined.