General Relativity: An Introduction for Physicists · Problem 15.30

Cosmological models — Hobson, Efstathiou & Lasenby

Physics · curvature-density-parameter-evolution

Problem

By differentiating the definition Ωk=−kc2/(R2H2)\Omega_k = -kc^2/(R^2 H^2), show that Ω˙k=2ΩkHq=ΩkH(Ωm+2Ωr−2ΩΛ),\dot{\Omega}_k = 2\Omega_k H q = \Omega_k H(\Omega_m + 2\Omega_r - 2\Omega_\Lambda), where qq is the deceleration parameter.

Browse the problem library