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Summary

Description
English: Comoving worldlines (gray dashed), Lightcone rL (orange), Hubbleradius rH (blue), Eventhorizon rE (violet) & Particlehorizon rP (green) in a big rip universe (Ωr+Ωm+ΩΛ=1, Ωk=0). Coordinates: proper distances r by cosmic time t (x=r, y=t). The Ω parameters are like in our universe (Ωm=0.315, ΩΛ=0.685), but under the assumption that the dark energy density increases with the scale factor (here the equation of state is w=-4/3). The big bang is at the bottom of the vertical t axis.
Date
Source Own work, relativity.yukterez.net/o/bigrip.html
Author Simon Tyran, Vienna (Yukterez)
Other versions
big crunch universe (Ωr=2, Ωk=-1) proper
big crunch universe (Ωr=2, Ωk=-1) comoving
big crunch universe (Ωr=2, Ωk=-1) conformal
big crunch universe (Ωr=2, Ωk=-1) polar
big crunch universe (Ωm=2, Ωk=-1) proper
big crunch universe (Ωm=2, Ωk=-1) comoving
big crunch universe (Ωm=2, Ωk=-1) conformal
big crunch universe (Ωm=2, Ωk=-1) polar
closed inflationary universe (ΩΛ=2, Ωk=-1) proper
closed inflationary universe (ΩΛ=2, Ωk=-1) comoving
closed inflationary universe (ΩΛ=2, Ωk=-1) conformal
closed inflationary universe (ΩΛ=2, Ωk=-1) polar
flat universe (Ωr=1) proper
flat universe (Ωr=1) comoving
flat universe (Ωr=1) conformal
flat universe (Ωm=1) proper
flat universe (Ωm=1) comoving
flat universe (Ωm=1) conformal
hyperbolic universe (Ωk>0, ΩΛ=0) proper
hyperbolic universe (Ωk>0, ΩΛ=0) comoving
hyperbolic universe (Ωk>0, ΩΛ=0) conformal
phantom energy (w=-2/3) proper
phantom energy (w=-2/3) comoving
phantom energy (w=-2/3) conformal
big rip universe (w=-4/3) proper
big rip universe (w=-4/3) comoving
big rip universe (w=-4/3) conformal
flat universe (Ωr+Ωm+ΩΛ=1) proper
flat universe (Ωr+Ωm+ΩΛ=1) comoving
flat universe (Ωr+Ωm+ΩΛ=1) conformal
milne model (Ωk=1) proper
milne model (Ωk=1) comoving
milne model (Ωk=1) conformal
milne model (Ωk=1) minkowski

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Captions

Spacetime diagram of a big rip universe, proper distances

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4 December 2024

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