The https://www-thphys.physics.ox.ac.uk/people/AndreiStarinets/TUTORIALS_NOTES_GR/gr-cosmology-exam-paper-2011-solutions.pdf#page=20[official notes, PDF pp. 20–21, handwritten pp. 13–14] combine the <Friedmann equations> and <Raychaudhuri equation> to derive the density and <scale factor> of the <Einstein static universe>.

Solution

Past exam of the general relativity and cosmology and condensed matter physics paper of Part B of the physics course of the University of Oxford / 2011 / Section V / 3 / Unlettered 4 / Solution

 Solution (source code)