In this talk, we will construct a family of Big Bang models and investigate the stability of the Big Bang. To be more specific, we firstly assume the homogeneity of the warped product spacetime to get some Big Bang models as background solutions that blow up at finite time, and then try to investigate the behavior of the solution after nonhomogeneous perturbation of initial data. It turns out, under certain conditions on the background and smallness of perturbation, shock will form before the Big Bang, which implies the instability of Big Bang.

 

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