Past exam of the mathematics course of the University of Cambridge 2019 iii Paper 310 1 c Solution Created 2026-10-03 Updated 2026-10-05
Normalize the present scale factor to . In a flat universe containing radiation in cosmology, pressureless matter, and a cosmological constant, the Friedmann equation iswhere . Since , the age of an FLRW universe isFor a matter-only flat Einstein-de Sitter universe,Taking the present value , for which the Hubble time is , gives
Past exam of the mathematics course of the University of Cambridge 2021 iii Paper 310 1 c Solution 2026-09-28
The age of an FLRW universe follows from . Neglecting radiation and spatial curvature givesFor an Einstein-de Sitter universe, and , so