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Summary

Description
English: Milne model in FLRW coordinates. Hubble radius RH: blue, light cone RL: orange, hypersurface of constant t (red) and T (pink). Comoving distances R by cosmic time t (x=R, y=t). The particle horizon is infinite in proper and comoving coordinates, but cT in Minkowski coordinates. Doublechecked with Figure 1 in DOI:10.48550/arXiv.2005.01968
Date
Source Own work, relativity.yukterez.net/o/milne.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 the milne universe, comoving distances

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23 December 2024

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Date/TimeThumbnailDimensionsUserComment
current07:58, 7 January 2025Thumbnail for version as of 07:58, 7 January 20253,840 × 2,096 (144 KB)Yukterezcolor correction
07:12, 7 January 2025Thumbnail for version as of 07:12, 7 January 20253,840 × 2,096 (144 KB)Yukterezinclude the hypersurfaces of constant t and T
09:28, 23 December 2024Thumbnail for version as of 09:28, 23 December 20243,840 × 2,096 (138 KB)YukterezUploaded own work with UploadWizard

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