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Does a FRW universe with the equation of state:

$$p = -\frac{\rho c^2}{3}$$

have a singularity at the Big Bang?

I was looking at:

http://en.wikipedia.org/wiki/Penrose–Hawking_singularity_theorems

and trying to decide if such a Universe obeys the "dominant energy condition" for the Penrose-Hawking theorem (energy greater than pressure) or not.

$$p = -\frac{\rho c^2}{3}$$

have a singularity at the Big Bang?

I was looking at:

http://en.wikipedia.org/wiki/Penrose–Hawking_singularity_theorems

and trying to decide if such a Universe obeys the "dominant energy condition" for the Penrose-Hawking theorem (energy greater than pressure) or not.

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