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

Sonia Jose; Alexandre Leblanc; Valerio Faraoni

doi:10.1140/epjc/s10052-022-10519-2

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

Eur Phys J C Part Fields. 2022;82(6):557. doi: 10.1140/epjc/s10052-022-10519-2. Epub 2022 Jun 24.

Authors

Sonia Jose¹, Alexandre Leblanc², Valerio Faraoni¹

Affiliations

¹ Department of Physics and Astronomy, Bishop's University, 2600 College Street, Sherbrooke, QC J1M 1Z7 Canada.
² Department of Physics, Université de Sherbrooke, 2500 Boulevard de l'Université, Sherbrooke, QC J1K 2R1 Canada.

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.