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University of Cambridge > Talks.cam > Cosmology Lunch > The Stability of the Euler-Einstein system with a positive Cosmological Constant

## The Stability of the Euler-Einstein system with a positive Cosmological ConstantAdd to your list(s) Download to your calendar using vCal - Jared Speck (DPMMS)
- Monday 26 April 2010, 13:00-14:00
- CMS, Pav.B, CTC Common Room (B1.19).
If you have a question about this talk, please contact Tasos Avgoustidis. The Euler-Einstein system models the evolution of a dynamic spacetime containing a perfect ﬂuid. In this talk, I will discuss the nonlinear stability of the Friedmann-Lemaˆıtre-Robertson-Walker family of background cosmological solutions to the Euler-Einstein system in 1 + 3 dimensions with a positive cosmological constant Λ. The background solutions describe an initially uniform quiet ﬂuid of positive energy density evolving in a spacetime undergoing accelerated expansion. The main result is a proof that under the equation of state p = cs It is of special interest to note that the behavior of the ﬂuid in an exponentially expanding spacetime differs drastically from the case of ﬂat spacetime. More speciﬁcally, Christodoulou has recently shown that on the Minkowski space background, data arbitrarily close to that of an initially uniform quiet ﬂuid state can lead to solutions that form shocks. In view of this fact, we remark that the proof of our result can be used to show the following: exponentially expanding spacetime backgrounds can prevent the formation of shocks. This talk is part of the Cosmology Lunch series. ## This talk is included in these lists:- All CMS events
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