A closed-form hypergeometric and Taylor treatment of dark-energy and Cardassian distance integrals is fitted to SN and GRB data, but the key integral identity and the data treatment are flawed.
Analytical Approach for the Determination of the Luminosity Distance in a Flat Universe with Dark Energy
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abstract
Recent cosmological observations indicate that the present universe is flat and dark energy dominated. In such a universe, the calculation of the luminosity distance, d_L, involve repeated numerical calculations. In this paper, it is shown that a quite efficient approximate analytical expression, having very small uncertainties, can be obtained for d_L. The analytical calculation is shown to be exceedingly efficient, as compared to the traditional numerical methods and is potentially useful for Monte-Carlo simulations involving luminosity distances.
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The distance modulus in dark energy and Cardassian cosmologies via the hypergeometric function
A closed-form hypergeometric and Taylor treatment of dark-energy and Cardassian distance integrals is fitted to SN and GRB data, but the key integral identity and the data treatment are flawed.