| Abstract: |
| In this talk we will present some recent work about the system of Einstein equation coupled with a massive scalar field. We remove the condition of ``being compact perturbation of Schwarzschild metric`` on initial data which seems to be restrictive in previous work. The key technique which allows this generalization is called the ``Euclidian-hyperbolic foliation``. Compared with the hyperboloidal foliation method introduced by the author`s team in previous work, this new framework has the capacity of treating non-compact supported initial data. |
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