Spacetime Diagrams: Evolution of the Cosmic Horizons and Light Cone

Evolution of the universe in the FLRW/ΛCDM cosmology
in proper and comoving distance coordinates by t and a

Ωr=9.2136e-5, Ωm=0.315, ΩΛ=1-Ωr-Ωm, H0=67.150
Ωr: radiation incl. neutrinos, Ωm: matter incl. dark matter,
ΩΛ: dark energy (density proportions, by critical density)

Units: time in Gyr, distances in Glyr
H and ȧ in km/s/Mpc

Green: particle horizon, Purple: event horizon,
Blue: Hubble radius, Orange: past light cone,
Dashed orange: future light cone,
Light gray: comoving world lines

This plot shows the modern particle horizon depiction, see
explanation: https://arxiv.org/pdf/astro-ph/0310808.pdf#page=11
https://www.youtube.com/watch?v=MoZZvUCSae8&t=3011s

Animation by Simon Tyran, Vienna (Yukterez), CC BY 4.0
Main site: http://flrw.yukterez.net