Analytical Approach for the Determination of the Luminosity Distance in a Flat Universe with Dark Energy

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.

3 pages, 4 figures, Accepted for publication in MNRAS

References in corpus (2)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Brief Note: Analytical Fit to the Luminosity Distance for Flat Cosmologies with a Cosmological Constant

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