Question

By integrating the solution to the Friedmann equation above, show the solution for this universe is:

a) Expanding exponentially
b) Contracting rapidly
c) Stabilizing at a constant size
d) Oscillating between expansion and contraction

Answer 1

The solution to the Friedmann equation indicates that a universe with higher density than the critical density and no dark energy will stop expanding and begin contracting, resulting in a "big crunch."

Step-by-step explanation:

The solution to the Friedmann equation can provide insights into the behavior of the universe. By integrating the solution, we can determine the fate of the universe. In the case where the actual density of the universe is higher than the critical density and there is no dark energy, the universe will stop expanding and begin contracting in the future. This is known as a closed universe. Eventually, the scale drops to zero, resulting in a "big crunch," where matter, energy, space, and time will be crushed out of existence.

The solution to the Friedmann equation indicates that a universe with higher density than the critical density and no dark energy will stop expanding and begin contracting, resulting in a "big crunch."