Distinguishing between inhomogeneous model and $\Lambda \text{CDM}$ model with the cosmic age method

Abstract

Cosmological observables could be used to construct cosmological models, however, a fixed number of observables limited on the light cone is not enough to uniquely determine a certain model. A reconstructed spherically symmetric, inhomogeneous model that share the same angular-diameter-distance-redshift relationship $d_A(z)$ and Hubble parameter $H(z)$ besides $\Lambda \text{CDM}$ model (which we call LTB-$\Lambda \text{CDM}$ model in this paper), may provide another solution. Cosmic age, which is off the light cone, could be employed to distinguish these two models. We derive the formulae for age calculation with origin conditions. From the data given by 9-year WMAP measurement, we compute the likelihood of the parameters in these two models respectively by using the Distance Prior method and do likelihood analysis by generating Monte Carlo Markov Chain for the purpose of breaking the degeneracy of ${\Omega }_m$ and $H_0$ (the parameters that we use for calculation). The results yield to be: $t_{\Lambda \text{CDM}}=13.76\pm 0.09\mathrm{Gyr}$, $t_{\mathrm{LTB}-\mathrm{\Lambda }\text{CDM}}=11.38\pm 0.15\mathrm{Gyr}$, both in $1\sigma$ agreement with the constraint of cosmic age given by metal-deficient stars. The cosmic age method that is set in this paper enables us to distinguish between the inhomogeneous model and $\Lambda \text{CDM}$ model.

10 pages, 2 figures, accepted by Physics Letters B. arXiv admin note: text overlap with arXiv:0911.3852 by other authors

References in corpus (3)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Discovery of HE 1523-0901, a Strongly r-Process Enhanced Metal-Poor Star with Detected Uranium
• HD 140283: A Star in the Solar Neighborhood that Formed Shortly After the Big Bang

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• Cosmological implications of different baryon acoustic oscillation data