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تسجيل مستخدم جديدGlobal solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates
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We consider a characteristic initial value problem, with initial data given on a future null cone, for the Einstein (massless) scalar field system with a positive cosmological constant, in Bondi coordinates. We prove that, for small data, this system has a unique global classical solution which is causally geodesically complete to the future and decays polynomially in radius and exponentially in Bondi time, approaching the de Sitter solution.
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