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

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.

10 pages, latex

References in corpus (5)

• The Expansion of the Universe is Faster than Expected
• The Hubble series: Convergence properties and redshift variables
• Can dark energy be dynamical?
• Friedmann's Equations in All Dimensions and Chebyshev's Theorem
• Multi-fluid cosmology in Einstein gravity: analytical solutions

Cited by in corpus (1)

• FLRW solutions in $f(Q)$ theory: the effect of using different connections