Spacetime diagram comparison of our mixed (top) with a matter (middle) & a radiation (bottom) dominated universe

Left: proper, middle: comoving, right: conformal. For all 3 models at a=1 the Hubbleparameter H=67.15 km/sec/Mpc

Top row: Ωr=0.000092136, Ωm=0.315, ΩΛ=1-Ωr-Ωm; middle row: Ωm=1; bottom row: Ωr=1. Plot axes: ↑: t & η, →: r & R

Colors: Hubble radius (rH), Event horizon (rE), Particle horizon (rP), Light cone (rL), Comoving world lines (a)

In the universes without dark energy (ΩΛ=0) there's no Event horizon (rE=RE=∞) since RP & RH grow without bounds

Static (H=Ḣ=Ḧ=0) | Crunch (Ωr=2) | Rip (w=-4/3) | Radiation (Ωr=1) | Matter (Ωm=1) | Milne (Ωk=1) | Mixed (Ωt=1)

Simon Tyran, Vienna (CC BY 4.0)                               More: a, ȧ, ä, ã, â, H, Ḣ, Ḧ, rH, rE, rP, rL, Σr, Ω