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arXiv · 2004.07396

Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates

João L. Costa·Filipe C. Mena
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Abstract

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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João L. Costa, Filipe C. Mena. 2020-04-15. Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates. https://arxiv.org/abs/2004.07396

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