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Summary

Description
English: Lightcone rL (orange), Hubbleradius rH (blue) & Particlehorizon rP (green) in a hyperbolic universe. Initial parameters at a=1: Ωr=0.000092136, Ωm=0.315, ΩΛ=0, H0=67.15 km/Mpc/s (Ωr includes photons and neutrinos). Those are the same parameters as in our current ΛCDM model, but with Ωk instead of ΩΛ. Coordinates: comoving distances R by cosmic time t (x=R, y=t). The lightcone origin is at t=13.842 Gyr. The big bang is at the bottom of the vertical t axis.
Date
Source Own work, relativity.yukterez.net/o/hyperbolic.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
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
big rip universe (Ωr+Ωm+ΩΛ=1) proper
big rip universe (Ωr+Ωm+ΩΛ=1) comoving
big rip universe (Ωr+Ωm+ΩΛ=1) 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 hyperbolic universe, comoving coordinates

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3 January 2025

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Date/TimeThumbnailDimensionsUserComment
current01:26, 3 January 2025Thumbnail for version as of 01:26, 3 January 20253,840 × 2,096 (179 KB)YukterezUploaded own work with UploadWizard

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