When can we compute analytically lookback time, age of the universe, and luminosity distance?

preprint2022arXivOpen access

Abstract

In Friedmann-Lemaître-Robertson-Walker cosmology, it is sometimes possible to compute analytically lookback time, age of the universe, and luminosity distance versus redshift, expressing them in terms of a finite number of elementary functions. We classify these situations using the Chebyshev theorem of integration and providing examples.

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