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arXiv · 0712.0787

An Approximate Analytical Algorithm for Evaluating the Distances in a Dark Energy Dominated Universe

T. Wickramasinghe
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Abstract

The most recent cosmological observations indicate that the present universe is flat and vacuum dominated. In such a universe, the distance measurements are always difficult and involve numerical computations. In this paper, it is shown that the most fundamental distance measurement of cosmology, the luminosity distance, for such a universe can be obtained in an approximate analytical way with very small errors of less than 0.02% up to %z = 5$ for any value of vacuum energy. The analytical calculation is shown to be exceedingly efficient, as compared to the traditional numerical methods.

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T. Wickramasinghe. 2007-12-05. An Approximate Analytical Algorithm for Evaluating the Distances in a Dark Energy Dominated Universe. https://arxiv.org/abs/0712.0787

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