Deriving Oscillating Universe Result: Need Help

In summary, the conversation discusses deriving a solution for an oscillating universe and suggests plugging the given solution into the Friedmann equation to find the corresponding values for K and rho. It is also mentioned that the argument inside the sine function cannot be imaginary, and that there can be multiple pairs of K and rho that result in an oscillating solution.
  • #1
p.p
9
0
Does anyone know how to derive the result for an oscillating universe?

R(t)= sqrt(3/lambda)sin(sqrt((3/lambda)ct)

I would appreciate the help on this one
 
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  • #2
I'm not sure what particular derivation you're after, but presumably in the RW metric there are such K and rho that give such a universe as a solution. You have the solution so why not plug it into the Friedmann equation and solve for K and rho? I think K=-1 and rho=lambda/3 would give this solution.
 
  • #3
From integral( dR/(sqrt(lambda*R^2/3) - K) = ct
derivation has the initial conditions;
lambda<0
K=-1

Leading to the oscillating universe
 
  • #4
Sorry, the answer I gave you is not correct. lambda can't be negative because then the argument inside sine would be imaginary and thus it wouldn't be an oscillating solution. But the method should work. Just plug your solution inside the Friedmann eq and find K and rho. There can be many pairs of K and rho that give such a solution.
 

1. What is an oscillating universe?

An oscillating universe is a theoretical model of the universe in which it undergoes a repeating cycle of expansion and contraction. This model proposes that the universe started with a big bang, expanded for a period of time, and then started contracting until it collapsed into a singularity. This cycle then repeats itself, leading to an infinite series of expansions and contractions.

2. How is the oscillating universe result derived?

The oscillating universe result is derived from various mathematical and theoretical models in cosmology. These models take into account factors such as the universe's rate of expansion, the amount and distribution of matter and energy, and the overall curvature of space. By analyzing these factors, scientists can determine whether the universe will continue expanding indefinitely or eventually collapse back in on itself.

3. What evidence supports the theory of an oscillating universe?

Currently, there is not enough evidence to definitively prove the existence of an oscillating universe. However, there are some observations that suggest that the universe may be cyclical. For example, recent studies have shown that the expansion of the universe is accelerating, which could potentially lead to a collapse in the distant future. Additionally, the cosmic microwave background radiation, leftover from the big bang, shows patterns that could be indicative of a previous cycle.

4. What are the implications of an oscillating universe?

If the oscillating universe model is true, it would have significant implications for our understanding of the universe. It would mean that the universe has no true beginning or end and has been in a state of constant change for eternity. It would also challenge the idea of a singular event that created the universe, as it would suggest that the universe has existed in some form for an infinite amount of time.

5. Is the oscillating universe model widely accepted in the scientific community?

The oscillating universe model is just one of many theories about the origin and fate of the universe. It is not widely accepted in the scientific community as there is currently not enough evidence to support it. However, it is still a topic of ongoing research and debate, and further studies and observations may shed more light on this theory in the future.

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