File:Hyperbolic.universe.proper.coordinates.png

Original file(3,840 × 2,096 pixels, file size: 315 KB, MIME type: image/png)

Commons-logo.svg This is a file from the Wikimedia Commons. The description on its description page there is shown below.
Commons is a freely licensed media file repository. You can help.

Summary

Description
English: Comoving worldlines (gray dashed), 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: proper 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
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

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

Captions

Spacetime diagram of a hyperbolic universe, proper coordinates

Items portrayed in this file

depicts

3 January 2025

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeDimensionsUserComment
current03:08, 5 January 20253,840 × 2,096 (315 KB)Yukterezpixel cosmetics

The following page uses this file:

Metadata