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

2020/04/15 by João L. Costa, Costa, João L., Filipe C. Mena +1
Earth and Planetary Sciences · Physics and Astronomy · #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements

paper · pdf · doi:10.48550/arxiv.2004.07396

openalex publication_date 2020/04/15 · openalex created_date 2022/07/26 · openalex updated_date 2026/08/01

Abstract

We consider a characteristic initial value problem, with initial data given\non a future null cone, for the Einstein (massless) scalar field system with a\npositive cosmological constant, in Bondi coordinates. We prove that, for small\ndata, this system has a unique global classical solution which is causally\ngeodesically complete to the future and decays polynomially in radius and\nexponentially in Bondi time, approaching the de Sitter solution.\n

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