Evolution of the cosmic surfaces in 2 Big Crunch universes: Ωr=2||Ωm=2

Colors: Worldlines, Hubbleradius, Antipode, Particlehorizon, Lightcone

Antipode: rM=πrK, Round trip: 2rM, Volume: V=2π²rK³, rK=c/H0/√[-Ωk/a²]

Turning points, Ωr=2: a=√2, t=√2/H0=20.5928; Ωm=2: a=2, t=π/H0=45.7457

Max conformal time η=RP/c, Ωr=2: η→π/H0=45.7457; Ωm=2: η→2π/H0=91.4914

Static | Crunch | Rip | Radiation | Matter | Milne | Hyper | Λk | ΛCDM

   r(t)

↑ r(t) / ↓ r(a)

   r(a)

↑ r(a) / ↓ R(t)

   R(t)

↑ R(t) / ↓ R(a)

   R(a)

↑ R(a) / ↓ R(η)

   R(η)

↙ R(t) / ↓ R(a) \ ↘ R(η)

   φ(Я)

↑ Spacetime / ↓ Functions

   f(t)

↑ Ωr=2 / ↓ Ωm=2

   r(t)

↑ r(t) / ↓ r(a)

   r(a)

↑ r(a) / ↓ R(t)

   R(t)

↑ R(t) / ↓ R(a)

   R(a)

↑ R(a) / ↓ R(η)

   R(η)

↙ R(t) / ↓ R(a) \ ↘ R(η)

   φ(Я)

↑ Spacetime / ↓ Functions

   f(t)

Static | Crunch | Rip | Radiation | Matter | Milne | Hyper | Λk | ΛCDM

Main |  Code | Info | a, ȧ, ä, ã, â, H, Ḣ, Ḧ, rH, rE, rP, rL, Σr, Ω