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arXiv · 1003.0483

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

T. Wickramasinghe·T. N. Ukwatta
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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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T. Wickramasinghe, T. N. Ukwatta. 2010-03-15. Analytical Approach for the Determination of the Luminosity Distance in a Flat Universe with Dark Energy. https://doi.org/10.1111/j.1365-2966.2010.16686.x

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