Evolution of the cosmic surfaces in a closed static universe (H=Ḣ=Ḧ=0)

Initial conditions: H0=67.15, Ωr=0.3, Ωm=1.1, ΩΛ=0.0073226, Ωk=1-Ωr-Ωm

At a=4.334, t=440.1 the expansion stops (unstable state where ȧ=ä=â=0)

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

Colors: Worldlines, Hubbleradius, Antipode, Particlehorizon, Lightcone

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

   r(t)

↑ r(t) / ↓ R(t)

   R(t)

↑ R(t) / ↓ R(η)

   R(η)

↑ a=1 / ↓ H=Ḣ=Ḧ=0

   r(t)

↑ r(t) / ↓ R(t)

   R(t)

↑ R(t) / ↓ 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