- #1
Mikeal
- 27
- 3
The solutions to the Friedmann-Lemaitre equations have curvature values of K = -1 (open universe), 0 (flat universe), +1 (closed universe).
The corresponding critical density values at the current time are: ρc(k = -1), ρc(k = 0) and ρc(k = +1)
If (k = 0) and the current density is less than ρc(k = 0), does this mean that the universe will expand at an ever-increasing rate. If so, does it mean the universe is in-fact open, rather than flat?
Conversely, if (k = -1) and the current density is greater than ρc(k = -1), does this mean that the universe will reach a maximum and then collapse. If so, does it mean the universe is in-fact flat or closed, rather than open?
The corresponding critical density values at the current time are: ρc(k = -1), ρc(k = 0) and ρc(k = +1)
If (k = 0) and the current density is less than ρc(k = 0), does this mean that the universe will expand at an ever-increasing rate. If so, does it mean the universe is in-fact open, rather than flat?
Conversely, if (k = -1) and the current density is greater than ρc(k = -1), does this mean that the universe will reach a maximum and then collapse. If so, does it mean the universe is in-fact flat or closed, rather than open?